The weight distribution of the self-dual [ 128 , 64 ] polarity design code

Document Type

Article

Publication Date

2016

Abstract

The weight distribution of the binary self-dual [128 , 64] code being the extended code C ∗ of the code C spanned by the incidence vectors of the blocks of the polarity design in PG( 6 , 2 ) [11] is computed. It is shown also that R(3 , 7) and C ∗ have no self-dual [128 , 64 , d] neighbor with d ∈ {20 , 24} .

Publisher's Statement

Copyright © 2016 American Institute of Mathematical Sciences. Publisher’s version of record: https://dx.doi.org/10.3934/amc.2016032

Publication Title

American Institute of Mathematical Sciences

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