WebJan 1, 2005 · To illustrate the power of this approach, a slight generalization of the Hartmann-Tzeng lower bound on minimum distance is proved, as well as the Bose-Chaudhuri-Hocquenghem lower bound. Other applications of linear complexity in the theory of cyclic codes are indicated. WebTwo generalizations of the Hartmann-Tzeng (HT) bound on the minimum distance of q-ary cyclic codes are proposed and it is shown that unique decoding up to this bound is always possible and outline a quadratic-time syndrome-based error decoding algorithm.
BCH Bound ScienceGate
WebBCH codes can be used to handle such errors in two ways. First, you can interlace them. That is, run several of them in parallel next to one another, so that adjacent bits come from different codes and a burst of errors will still produce only one error per code. WebAs the generalization of the BCH bound, the minimum distance bound on cyclic codes proposed in [1] can be generalized to the following case. Lemma 2.4 Let u,m,b,δ be non-negative integers with m,b,δ ≥ 1. Let C be an [n,k,d] cyclic code over Fq and α a primitive n-th root of unity. If the complete defining set of C contains the following ... dr. david jeremiah radio program
Spectral Method for Quasi-Cyclic Code Analysis IEEE Journals ...
WebApr 14, 2024 · Active inference is a first principles approach to understanding and modelling sentient agents. It states that agents entertain a generative model of their environment, and learn and act by minimizing an upper bound on their surprisal, i.e. their free energy. The free energy decomposes into an accuracy and complexity term, meaning that agents ... WebDec 7, 2024 · We focus on generalization error upper bounds, and introduce a categorisation of bounds depending on assumptions on the algorithm and data. … WebJun 1, 2024 · Out of the most famous bounds, we can certainly find the BCH [5], [4], [13], the Hartmann-Tzeng (HT) [12] and the Roos bound [31], [30]. More recently, generalizations of these types of bounds have been proposed by embedding the code into a cyclic product code; see [32]. dr david jeremiah turning point tv broadcast