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Self-Dual Codes Constructed from Hadamard Matrices

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Mathematical Journal of Okayama University

Volume 40, Issue 1 1998 Article 3

J ANUARY 1998

Self-Dual Codes Constructed from Hadamard Matrices

Masaaki Harada

Yamagata University

Copyright c1998 by the authors. Mathematical Journal of Okayama Universityis produced by The Berkeley Electronic Press (bepress). http://escholarship.lib.okayama-u.ac.jp/mjou

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Self-Dual Codes Constructed from Hadamard Matrices

Masaaki Harada

Abstract

In this note, we study self-dual codes constructed from Hadamard matrices. We also give a classification of self-dual codes over Fp constructed from Hadamard matrices of order n for any prime p and n≤12, and p≤17 and n = 16 and 20.

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1 Harada: Self-Dual Codes Constructed from Hadamard Matrices

Produced by The Berkeley Electronic Press, 1998

(4)

2 Mathematical Journal of Okayama University, Vol. 40 [1998], Iss. 1, Art. 3

http://escholarship.lib.okayama-u.ac.jp/mjou/vol40/iss1/3

(5)

3 Harada: Self-Dual Codes Constructed from Hadamard Matrices

Produced by The Berkeley Electronic Press, 1998

(6)

4 Mathematical Journal of Okayama University, Vol. 40 [1998], Iss. 1, Art. 3

http://escholarship.lib.okayama-u.ac.jp/mjou/vol40/iss1/3

(7)

5 Harada: Self-Dual Codes Constructed from Hadamard Matrices

Produced by The Berkeley Electronic Press, 1998

(8)

6 Mathematical Journal of Okayama University, Vol. 40 [1998], Iss. 1, Art. 3

http://escholarship.lib.okayama-u.ac.jp/mjou/vol40/iss1/3

(9)

7 Harada: Self-Dual Codes Constructed from Hadamard Matrices

Produced by The Berkeley Electronic Press, 1998

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