Abstract: The subject technology provides a decoding solution that conserves variable node memory in Low Density Parity Check decoding operations, while supporting multiple choices of code rates. A decoder includes a plurality of variable node memories, with each of the variable node memories having a predetermined memory capacity based on a position of a respective variable node associated with the variable node memory relative to a first variable node in a series of variable nodes. The code rate determines how many of the variable node memories are used, and the size of the data stored in each memory. The capacity of the memories is predetermined so that, as the code rate and number of memories utilized by the decoder increases or decreases, utilization of the memory capacity of each variable node memory is maximized.

Abstract: The subject technology provides a decoding solution that conserves variable node memory in Low Density Parity Check decoding operations, while supporting multiple choices of code rates. A decoder includes a plurality of variable node memories, with each of the variable node memories having a predetermined memory capacity based on a position of a respective variable node associated with the variable node memory relative to a first variable node in a series of variable nodes. The code rate determines how many of the variable node memories are used, and the size of the data stored in each memory. The capacity of the memories is predetermined so that, as the code rate and number of memories utilized by the decoder increases or decreases, utilization of the memory capacity of each variable node memory is maximized.

Abstract: An encoder that supports multiple code rates and code lengths is disclosed. A shift register utilized by the encoder may be scaled in size based on a selected code rate or code length. The shift register shifts a bit series for the matrix without requiring fixed feedback points within the register. The sizes of the matrix and bit series are based on the selected code rate or code length, and the encoder loads the bit series into a first portion of the shift register, and a division of the bit series into a second portion of the shift register located adjacent to the first portion. The encoder periodically repopulates the shift register from memory to simulate circular shifting of the bit series without feedback points. Accordingly, complexity of the encoder is reduced.