Lower bounds of dimension of linear codes for CDMA | Applied Discrete Mathematics. Supplement. 2017. № 10. DOI: 10.17223/2226308X/10/19

Lower bounds of dimension of linear codes for CDMA

A linear code of the length 2n is called a saving property bent code (SPB-code) for a bent function f if for any element a of the code, f (x ф a) is a bent function. For every bent function from Maiorana - McFarland class with 2n variables, there exists SPB-code of the dimension 2n+1 - 1. For every bent function with a linearity index k, there exists SPB-code of the dimension 2fc+1 - 1.

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Keywords

линейные коды, бент-функции, коды постоянной амплитуды, linear codes, bent functions, constant-amplitude codes

Authors

NameOrganizationE-mail
Odinokikh N. S.Novosibirsk State Universitynikita.odinokih@gmail.com
Всего: 1

References

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McFarland R. L. A family of difference sets in non-cyclic groups // J. Combin. Theory. Ser. A. 1973. V. 15. No. 1. P. 1-10.
Ященко В. В. О критерии распространения для булевых функций и о бент-функциях // Пробл. передачи информ. 1997. Т. 33. Вып. 1. С. 75-86.
 Lower bounds of dimension of linear codes for CDMA | Applied Discrete Mathematics. Supplement. 2017. № 10. DOI: 10.17223/2226308X/10/19

Lower bounds of dimension of linear codes for CDMA | Applied Discrete Mathematics. Supplement. 2017. № 10. DOI: 10.17223/2226308X/10/19