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On the Minimum Average Distance of Binary Codes
Author: Release time:2018-07-05 Number of clicks:

Title: On the Minimum Average Distance of Binary Codes

Speaker: Fangwei Fu

Affiliation: Nankai University, NKU

Time: 2018-7-8 10:00-11:00

Venue: Room 201 Lecture Hall

abstract:

Ahlswede and Katona posed the following average distance problem: Determine the minimum average Hamming distanceβ(n, M) of binary codes with length n and size M. We present some improved lower bounds forβ(n, M) with the help of linear programming in coding theory. As a corollary, some exact values ofβ(n, M) are determined.



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