Estimates for distribution of the minimal distance of a random linear code.
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| Title: | Estimates for distribution of the minimal distance of a random linear code. |
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| Authors: | Kopyttcev, Viktor A., Mikhailov, Vladimir G. |
| Source: | Discrete Mathematics & Applications; Aug2016, Vol. 26 Issue 4, p203-211, 9p |
| Subject Terms: | DISTRIBUTION (Probability theory), LINEAR codes, FINITE fields, MATHEMATICAL bounds, MATHEMATICAL inequalities |
| Abstract: | The distribution function of the minimum distance (the minimumweight of nonzero codewords) of a random linear code over a finite field is studied. Expicit bounds in the form of inequalities and asymptotic estimates for this distribution function are obtained. [ABSTRACT FROM AUTHOR] |
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| Database: | Complementary Index |
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