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• W2895904262 abstract "We determine the rank of a random matrix A over a finite field with prescribed numbers of non-zero entries in each row and column. As an application we obtain a formula for the rate of low-density parity check codes. This formula verifies a conjecture of Lelarge [Proc. IEEE Information Theory Workshop 2013]. The proofs are based on coupling arguments and the interpolation method from mathematical physics." @default.
• W2895904262 created "2018-10-26" @default.
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• W2895904262 creator A5083257155 @default.
• W2895904262 date "2018-10-17" @default.
• W2895904262 modified "2023-09-27" @default.
• W2895904262 title "The rank of random matrices over finite fields." @default.
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