Using a new parity-check matrix, a class of convolutional codes with a designed free distance is introduced. This new class of codes has many characteristics of BCH block codes, therefore, we call these codes BCH convolutional codes.

This paper investigates the potential of using strong BCH codes to improve multilevel data-storage NAND Flash memory capacity. Current multilevel Flash memories store 2 bits in each cell. Further storage capacity may be achieved by increasing the number of storage levels per cell, which nevertheless will largely degrade the raw storage reliability. Based on a Gaussian-like memory cell threshold...

BCH codes are widely employed in data storage, communications systems, and consumer electronics. A new application of LCD codes in cryptography was found recently. It is known that LCD codes are asymptotically good. LCD cyclic codes were referred to as reversible cyclic codes in the literature. The objective of this paper is to construct a class of LCD codes, which are also BCH codes. The dimen...

Using the characterization of the idempotents of a narrow-sense primitive binary BCH code, we are able to give classes of such codes whose minimum distance reaches the BCH bound. Let be a primitive element of GF(2 m). We denote R n = GF(2))x]=(x n ? 1), n = 2 m ? 1. 1 Binary BCH codes and locator polynomials 1.1 Primitive binary BCH codes For our purpose we only need to deene a particular class...

An ensemble of symbolic, numeric and graphic computations developed to construct the Octonionic and compact G2 structures in Mathematica 8.0. Cayley-Dickenson Construction symbolically applied from Reals to Octonions. Baker– Campbell–Hausdorff formula (BCH) in bracket form verified for Octonions. Algorithms for both exponentiation and logarithm of Octonions developed. Exclusive validity of vect...

Under research for near sixty years, Bose-Ray-Chaudhuri-Hocquenghem(BCH) codes have played increasingly important roles in many applications such as communication systems, data storage and information security. However, the dimension and minimum distance of BCH codes are seldom solved until now because of their intractable characteristics. The objective of this paper is to study the dimensions ...

We describe a novel nucleoside analog, 2'-deoxy-3'-thiacytidine (BCH-189), in which the 3' carbon of the ribose ring of 2'-deoxycytidine has been replaced by a sulfur atom. In MT-4 T cells, this compound had significant time- and dose-dependent antiviral activity against five different strains of human immunodeficiency virus type 1 (HIV-1) (mean 50% inhibitory dose, 0.73 microM); known 3'-azido...

We study flavor changing effects on the pp → bcH ± + X process at the Large Hadron Collider(LHC), which are inspired by the left-handed up-type squark mixings in the Minimal Supersymmetric Standard Model(MSSM). We find that the SUSY QCD radiative corrections to bcH ± coupling can significantly enhance the cross sections at the tree-level by a factor about 1.5 ∼ 5 with our choice of parameters. ...

Affine-invariant codes are extended cyclic codes of length pm invariant under the affine-group acting on Fpm . This class of codes includes codes of great interest such as extended narrow-sense BCH codes. In recent papers, we classified the automorphism groups of affine-invariant codes [2], [5]. We derive here new results, especially when the alphabet field is an extension field, by expanding o...