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Research Article | Open Access

On codes induced from Hadamard matrices

University of Galway (previously National University of Ireland Galway), Ireland
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Abstract

Unit derived schemes applied to Hadamard matrices are used to construct and analyse linear block and convolutional codes. Codes are constructed to prescribed types, lengths and rates and multiple series of self-dual, dual-containing, linear complementary dual and quantum error-correcting of both linear block and convolutional codes are derived.

Keywords

Hadamardcodelinearconvolutionalself-dualdual-containingquantum code
CLC number: 15B99, 94B05, 94B10

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AIMS Mathematics
Volume 10 Issue 12,
December 2025
Pages 28264-28276
DOI: 10.3934/math.20251243

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Hurley T. On codes induced from Hadamard matrices. AIMS Mathematics, 2025, 10(12): 28264-28276. https://doi.org/10.3934/math.20251243

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Received: 09 September 2025
Revised: 21 October 2025
Accepted: 10 November 2025
Published: 01 December 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)