Encoder and decoder of forward error correction (FEC) codec

A port encoder for use in a forward error correction (FEC) codec, wherein the port encoder is configured to:

• generate, based on a first power of an alpha (α) for a current clock cycle and a first staged result that is related to one or more previous sets of input bytes of a message for one or more previous clock cycles, a first Galois field product for the current clock cycle, wherein the message has L bytes;
• generate, based on the first Galois field product and a consolidated byte related to the current clock cycle, a second staged result;
• generate, based on the second staged result, a check byte related to the message;
• and
• transmit a signal that includes the check byte over a compute bus;
• wherein:
• the message is a portion of a distributed message that is distributed between a plurality of FEC codecs;
• the check byte is generated as
• C=Σi=0LBi*∝(L−i);
• ∝(x+y)mod g(x)=[∝x[∝ymod g(x)]]mod g(x);
• Bi is an ith byte of the message;
• and
• g(x) is a primitive polynomial over a Galois field GF (2m).

A method for a forward error correction (FEC) encoder to generate a check byte related to a message, wherein the method comprises:

• generating respective check bytes for second through nth respective sets of the input bytes in respective current clock cycles, wherein the generating comprises:
• generating, based on a power of an alpha for the respective current clock cycle and a first staged result that is related to one or more previous sets of input bytes of a message for one or more previous clock cycles, a Galois field product for the respective current clock cycle;
• generating a consolidated byte related to the respective current clock cycle based on check bytes of the one or more previous sets of input bytes;
• and
• generating, based on the Galois field product and the consolidated byte related to the respective current clock cycle, a second staged result;
• generating, based on the second staged result of a final set of the n sets of input bytes, the check byte for the message;
• and
• transmitting a signal comprising the check byte for the message over a compute bus.