Geodesic
Moments of codeword weights in random binary linear codes
Matematičeskie voprosy kriptografii, Tome 3 (2012), pp. 55-70

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We consider random uniform binary linear codes. Formulas for the first moments of weight spectrum are obtained along with the explicit estimates for the typical values of the minimal weight of nonzero codewords. Upper bounds for the probability of linear dependence between independent random binary vectors with given weights are obtained also. 
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     author = {A. M. Zubkov and V. I. Kruglov},
     title = {Moments of codeword weights in random binary linear codes},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2012_3_a2/}
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A. M. Zubkov; V. I. Kruglov. Moments of codeword weights in random binary linear codes. Matematičeskie voprosy kriptografii, Tome 3 (2012), pp. 55-70. http://geodesic.mathdoc.fr/item/MVK_2012_3_a2/