as an extension to the teachings provided in the &# 39 ; 209 publication , fig3 a illustrates an intermediary pipelined crc redundancy check solution 100 according to a first embodiment of the invention , that implements the cascading of 32 byte calculators 15 a , . . . , 15 n whereby each crc input to a calculator , e . g ., at a cycle “ j ” is actually a combinatorial output of the previous cycle of packet data ( data from data latch 12 ′ for cycle “ j − 1 ”) and the previous cycle crc value ( for cycle j − 1 ), in a pipelined process . thus , the crc calculator block 20 labeled crc192 — 32 , represents the combinatorial calculation of a 32 bit crc from 192 bits of data for the previous cycle data 12 ′ ( cycle j − 1 ) and provides the crc remainder for the next cycle processing , i . e ., cycle “ j ” processing . that is , the output of crc calculator block 20 labeled crc192 — 32 is actually the output 14 n of the combinatorial cascaded calculator block 11 of fig1 a for input to the crc32 — 32 block 15 a . as shown in fig3 a , by computing two cycles worth ( cycle j − 1 and cycle j ) of crc data , two latches 16 , 16 ′ are provided for latching current crc remainder ( cycle j ) and the crc remainder ( cycle j − 1 ), respectively , that are fed back to the crc byte calculators . fig3 b illustrates the crc calculator block 20 of fig3 a . the data from data latch 12 ′ is connected to a 192 bit input , 32 bit output data xor tree 22 . the xor logic in data xor tree 22 is understood to be constructed to implement the data - related specific type of crc calculation desired for crc calculator block 20 . the crc remainder input to crc calculator block 20 is connected to a 32 bit input , 32 bit output remainder xor tree 21 . the xor logic in remainder xor tree 21 is understood to be constructed to implement the remainder - related specific type of crc calculation desired for crc calculator block 20 . the outputs of xor trees 21 and 22 are connected to a 32 × 2 input xor function block 152 . referring now to fig4 a , the calculation of the leftmost output 14 a of fig3 a is depicted as comprising a cascaded crc32 — 32 block 15 preceded by a crc192 — 32 block 20 and the previous latched cycle data 12 ′ ( cycle j − 1 ). fig4 a thus depicts one solution , however , the combinatorial logic path from the previous latched cycle data 12 ′ to the output of crc calculator block 15 is excessively long . as depicted in fig4 b , the x_in latch 12 ′ is thus removed , and a new latch 12 ″ is added to the output . it is noted that the deletion of latch 12 ′ and addition of latch 12 ″ does not change the functionality of the circuit . it is additionally noted that the arrangement of the xor logic blocks ( 150 , 152 ) has been changed , and understood that this also does not change the functionality of the circuit . referring now to fig4 c , a crc calculator 30 is depicted . remainder xor trees 151 and 21 have combined to form remainder xor tree 31 . xor logic blocks 150 are combined to form xor logic block 33 . it is noted that when combining cascaded crc blocks , the size of the xor tree for the crc inputs is bounded ; it stays roughly the same size no matter the amount of data processed . it is further understood that latch 12 ″ results in the crc calculator 30 having approximately the same critical path as in the prior solutions , e . g ., embodiment 100 depicted in fig3 . that is , rolling the latched x_in value into the first block of the crc calculator yields a pipelined computation of the crc value . the current data in is xor &# 39 ; d according to the crc requirements and latched which preserves the critical timing path . that is , as shown in fig4 c , this configuration disregards the large xor block before the latch , however , it results in about the same length as the overall critical path in the embodiment depicted in fig4 a . if it is not , it can be easily added at another stage . fig5 depicts a crc solution 200 as in the circuit implementation 100 of fig3 a , however implementing the cascaded coupling of 32 byte calculators having the same critical path length but with an extra pipeline stage embodied as the crc224 — 32 block 30 . in this embodiment , however , the critical timing path from crc224 — 32 block 30 to output 14 n remains unsatisfactorily long . with the presence of latch 16 ′ connected directly the output of latch 16 , there is a pipeline stage comprising no logic . these two pipeline stages are unbalanced . referring thus to fig6 , a crc calculator solution 300 is depicted whereby latch 16 has been removed , and new latches 16 ″ and 17 are added . latch 16 ″ is inserted between crc32 — 32 block 15 c and crc32 — 32 block 15 d . latches 17 are added before the data inputs to crc32 — 32 blocks 15 d , 15 e , and 15 n . the placement of the latch 16 ″ in the critical path is selected as to provide balance in the two pipelined cycles . the first pipeline stage now comprises of crc224 — 32 block 30 and crc32 — 32 blocks 15 b and 15 c . the second pipeline stage now comprises crc32 — 32 blocks 15 d , 15 e , and 15 n . it is understood that the deletion of latch 16 and the addition of latches 16 ″ and latches 17 do not change the functionality of the circuit . thus the cascaded path is now broken in half due to the insertion of latch 16 ″, and consequently the critical timing path length is likewise significantly reduced . thus , the circuit solution 300 depicted in fig6 operates with increased speed as only three crc32 — 32 ( combinatorial ) blocks are processed before encountering the latch . the only extra logic is the added xor tree in the crc224 — 32 block 30 such as shown in fig4 c . one solution for initializing the circuit 300 when the first piece of a packet arrives is now described . traditionally , the crc remainder is initialized to an all 1 &# 39 ; s value at the start of the packet . however , with the circuit of the present invention , the current crc value is calculated on the previous cycle of data and remainder as well as the current cycle of data . since at the start of a packet there is no previous cycle of packet data , the solution is to assume values for the “ negative ” cycle of data , and compute the crc remainder value that , when computed with the assumed negative packet data , results in the normal initial value of data . thus , referring for example , to the crc solution as depicted in the circuit 100 of fig3 , now shown in fig7 , initial latch values ( for the latch 16 , 16 ′) are obtained by determining the “ negative ” crc values for the packet . since the crc calculations are based on the previous two cycles , there is needed a crc latch value for the cycle − 1 ( latch 16 ′). note , the crc remainder value latched for cycle 0 is assumed to be 0xffff_ffff at latch 16 . the initial value for latch 16 ′ is calculated by “ rewinding ” the crc circuit , and assuming “ negative ” values of packet data ( i . e ., all 0 &# 39 ; s ), and then finding the crc value that would result in the next cycle crc value to be the cycle 0 value , given the all zeroes of packet data . given the initial values previously calculated , these initial values can be pushed as the latches are rolled back ( pushed ) through the circuit as shown in the embodiment of the crc redundancy circuit 300 depicted in fig6 . using the assumption that all initial x_in latch values are zero , the value for the middle latch 16 ″ in the cascade is uniquely determined . the latch values 17 on the upper three x_in lines are zero , as is the latch inside of the crc224 — 32 block ( xor &# 39 ; s of all zero is still zero ). fig8 is a diagram of a circuit 300 circuit implementing generic parameters including circuitry for initializing packet data input for the “ negative ” cycles . in fig8 , the parameters include : v = number of stages ; y = smallest granularity of data on which crc is calculated ; m = number of bits in data processed per cycle ; z = number of outputs ( y * z = m ) and w = bit - width of crc calculation . m - bits of packet data are latched into x_in latch 812 . latch 816 represents the crc remainder from the previous v cycles . the outputs of latches 816 and 812 are coupled to the inputs of a crc (( v * m )+ y ) _ ( w ) block 830 . this block is constructed in a similar fashion as block 30 in fig4 a , 4 b , and 4 c . for each stage “ v ” in crc calculator 800 , the steps depicted in fig4 a , 4 b , and 4 c are repeated . thus , as block 30 calculates the data portion of the crc remainder for the current cycle of data , the previous cycle of data and the previous cycle crc remainder , block 830 calculates the data portion of the crc remainder for the current cycle of data , the v previous cycles of data , and the previous v cycle crc remainder . the output of crc calculator block 830 is connected to a cascade of crc ( y ) _ ( w ) calculator blocks 815 . there are z − 1 total calculator blocks 815 in the cascade . evenly distributed along the cascade are v number of latches 816 ′, whose inputs are selectively coupled to either the output of the previous crc calculator block 815 , or to an initial value calculated in the same fashion as described for fig7 . this selection is controlled by pkt_start input 850 . it is noted that for every latch 816 that is removed from the end of the cascade and inserted into the middle of the cascade , that an addition level of latches 817 are added to the appropriate outputs of x_in latch 12 . latches 817 are inserted before the inputs to those crc calculator blocks 850 that are not in the first stage of the cascade ( i . e . those block 815 cascaded after the first 816 ′ latch . for each successive stage after a latch 816 in the cascade , an additional set of latches 817 are inserted , such that the data inputs to the last stage of calculator blocks 815 have v number of latches 817 inserted . each of the latches 817 are connected such that their inputs are selectively controlled by pkt_start input 850 . when input 850 is asserted , all latches 817 are set to all 0s . additionally , when input 850 is asserted , all latches 816 and 816 ′ are driven to the calculated initial values . with even distribution of latches 816 , the cascaded chain of crc calculators are cut into v number of pieces , thus reducing the critical cycle time by a factor of v . while there has been shown and described what is considered to be preferred embodiments of the invention , it will , of course , be understood that various modifications and changes in form or detail could readily be made without departing from the spirit of the invention . it is therefore intended that the invention be not limited to the exact forms described and illustrated , but should be constructed to cover all modifications that may fall within the scope of the appended claims .