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- W4294141569 abstract "The maximum size of a binary code is studied as a function of its length N, minimum distance D, and minimum codeword weight W. This function B(N,D,W) is first characterized in terms of its exponential growth rate in the limit as N tends to infinity for fixed d=D/N and w=W/N. The exponential growth rate of B(N,D,W) is shown to be equal to the exponential growth rate of A(N,D) for w <= 1/2, and equal to the exponential growth rate of A(N,D,W) for 1/2< w <= 1. Second, analytic and numerical upper bounds on B(N,D,W) are derived using the semidefinite programming (SDP) method. These bounds yield a non-asymptotic improvement of the second Johnson bound and are tight for certain values of the parameters." @default.
- W4294141569 created "2022-09-02" @default.
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- W4294141569 date "2010-09-19" @default.
- W4294141569 modified "2023-09-25" @default.
- W4294141569 title "On Bounded Weight Codes" @default.
- W4294141569 doi "https://doi.org/10.48550/arxiv.1009.3657" @default.
- W4294141569 hasPublicationYear "2010" @default.
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