BlockGenerateEncoderHamming: Generate Hamming encoder.

In DaniWi/Channelcoding: channelcoding

Description

Generates a block encoder for Hamming block codes.

Usage

BlockGenerateEncoderHamming(code.length = 7, data.length = 4)

Arguments

code.length	Length of the encoded message
data.length	Length of the plain message

Details

The resulting Hamming Code is obtained by constructing a (code.length - data.length) x code.length Parity-Check-Matrix. The columns are the binary vectors of the integers 1 to code.length. Column Permutations are then applied to get the Form (t(A) | Ir). The resulting Generator Matrix is (In | A).

Value

A block encoder represented as a list containing: type, code.length, data.length, 2 Matrices gen.matrix and check.matrix, being the Generator Matrix and the Parity Check Matrix

Author(s)

Benedikt Wimmer

Examples

# standard Hamming encoder with code-rate = 0.57
BlockGenerateEncoderHamming(7,4)

DaniWi/Channelcoding documentation built on May 6, 2019, 1:23 p.m.