IR-HARQ schemes with finite-length punctured LDPC codes over the BEC

The main tools are the notion of trace dual bases, in the case of linear codes, and of normal bases of an extension ring over a ring, in the case of cyclic codes.. Keywords: Finite

Keywords: secret sharing; multisecret-sharing scheme; finite field; vector

We considered IR-HARQ schemes based on finite-length punctured LDPC codes, where the transmission was assumed to take place over the time-varying binary erasure channel, with the

We denote the number of mappings belonging to GL m 2 which map a given subspace of dimension k to another given subspace of dimension k by g(m, k). In the next section we define

Remark: Compared to D-GLDPC, the parametrization of hybrid LDPC codes allow to optimize the length of the generalized codes, both at variable and check nodes, given their dimensions

In both cases, we demonstrate that using the information carried via multi-bit feedback channels, the transmitter can adapt the coding rates in order to achieve a better

Dans cet article nous proposons une nouvelle approche avec l’utilisation des codes correcteurs LDPC 1 plutôt que les codes LDGM.. 2 La complexité de notre

Moreover, we show that ifl-codes are weakly prefix codes (cf. [C2]) but the converse does not hold for arbitrary codes. However, it appears that in the case of regular codes the