Author: Kerdock, A.M.
Description: This paper introduces a new class of nonlinear binary codes. For each l = 2, 3,… we present a code with 241 codewords of length N = 4l and distance d = (4l — 2l)/2. Each code is a supercode of the 1st-order Reed-Muller (RM) code and a subcode of the 2nd-order RM code. These codes are the “duals≓ of the extended nonlinear Preparata codes in the sense that their weight distributions satisfy the MacWilliams identities.
Subject headings: Binary codes; Supercode; Weight distributions
Publication year: 1972
Journal or book title: Information and Control
Volume: 20
Issue: 2
Pages: 182-187
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Type: Journal Article
Serial number: 1897