A note on the Newton radius

作者：Samorodnitsky Alex; Yekhanin Sergey^*

来源：Discrete Mathematics, 2012, 312(15): 2392-2393.

DOI：10.1016/j.disc.2012.03.038

• 68P30
• Newton radius
• Covering radius

The Newton radius of a code is the largest weight of a uniquely correctable error. We establish a lower bound for the Newton radius in terms of the rate. In particular we show that in any family of linear codes of rate below one half, the Newton radius increases linearly with the codeword length.

• 出版日期2012-8-6
• 单位Microsoft