Geodesic
Estimates for distribution of the minimal distance of a random linear code
Diskretnaya Matematika, Tome 27 (2015) no. 2, pp. 45-55

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The distribution function of the minimum distance (the minimum weight 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.
Keywords: minimum distance of a linear code, explicit estimates of distribution functions, asymptotic estimates of distribution functions. 
@article{DM_2015_27_2_a2,
     author = {V. A. Kopyttsev and V. G. Mikhailov},
     title = {Estimates for distribution of the minimal distance of a random linear code},
     journal = {Diskretnaya Matematika},
     pages = {45--55},
     publisher = {mathdoc},
     volume = {27},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2015_27_2_a2/}
}
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V. A. Kopyttsev; V. G. Mikhailov. Estimates for distribution of the minimal distance of a random linear code. Diskretnaya Matematika, Tome 27 (2015) no. 2, pp. 45-55. http://geodesic.mathdoc.fr/item/DM_2015_27_2_a2/