Xilinx, Inc.

Ming Ruan

Richard Lewis Walke

Gordon I Old

Zahid Khan

Fengshou Guo

Embodiments described herein provide a code generation mechanism (FIG.) in a Polar encoder (FIG.) to determine a bit type (FIG.) corresponding to each coded bit in the Polar code before sending the data bits for encoding (FIG.). For example, each bit in the Polar code is determined to have a bit type of a frozen bit, parity bit, an information bit, or a cyclic redundancy check (CRC) bit based at least on the respective reliability index of the bit from a pre-computed reliability index lookup table (FIG.A,). In this way, the bit type determination can be completed in one loop by iterating the list of entries in the pre-computed reliability index lookup table.

System and method for determining bit types for polar encoding and decoding

A system includes an integrated circuit configured to receive a multiplicand number, a multiplier number, and a modulus at one or more data inputs. The multiplicand number is partitioned into a plurality of multiplicand words. Each multiplicand word has a multiplicand word width. The multiplier number is partitioned into a plurality of multiplier words. Each multiplier word has a multiplier word width different from the multiplicand word width. A plurality of outer loop iterations of an outer loop is performed to iterate through the plurality of the multiplicand words. Each outer loop iteration of the outer loop includes a plurality of inner loop iterations of an inner loop performed to iterate through the plurality of the multiplier words. A Montgomery product of the multiplicand number and the multiplier number with respect to the modulus is determined.

Montgomery multiplication devices

An example method of erasure error correction in an IC includes receiving input data from a channel coupled to the IC, determining a bit pattern indicating survived blocks and erased blocks of a plurality of blocks in the input data and determining a number of integers, in a finite set of integers, greater than or less than an integer representing the bit pattern, the finite set of integers representing a finite set of possible values of the bit pattern based on an (m, k) erasure coding scheme. The method further includes generating an address for a memory, which stores a plurality of pre-computed decoding matrices based on the (m, k) erasure coding scheme, from the determined number of integers to obtain a pre-computed decoding matrix associated with the bit pattern. The method further includes recovering the erased blocks through matrix multiplication using the pre-computed decoding matrix and the survived blocks as parametric input.

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Shanghai, China

Ming Ruan