نتایج جستجو برای: parity check code
تعداد نتایج: 237688 فیلتر نتایج به سال:
We derive expressions for the average distance distributions in several ensembles of regular low-density parity-check codes (LDPC). Among these ensembles are the standard one defined by matrices having given column and row sums, ensembles defined by matrices with given column sums or given row sums, and an ensemble defined by bipartite graphs.
OF THE DISSERTATION Coding Schemes to Approach Capacity in Short Blocklength with Feedback and LDPC Coding for Flash Memory
We describe and present a new construction method for codes using encodings from group rings. They consist primarily of two types: zero-divisor and unit-derived codes. Previous codes from group rings focused on ideals; for example cyclic codes are ideals in the group ring over a cyclic group. The fresh focus is on the encodings themselves, which only under very limited conditions result in idea...
In this paper, we describe the design methodology and hardware implementation of a low-density parity-check (LDPC) code for a digital television (DTV) system. We begin the paper describing LDPC codes and the design strategies we used. We also provide some simulation results that show that the proposed code greatly outperforms codes used by other DTV standards. Finally, we provide details of the...
An explicit construction of a family of binary LDPC codes called LU(3, q), where q is a power of a prime, was recently given. A conjecture was made for the dimensions of these codes when q is odd. The conjecture is proved in this note. The proof involves the geometry of a 4-dimensional symplectic vector space and the action of the symplectic group and its subgroups.
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