… good codes of codingtheory proper, which are instead bound to have “high” codeword distances. To support this claim we proceed to code optimality and the second inverse problem. …
AP Stakhov - Chaos, Solitons & Fractals, 2006 - Elsevier
… theory of the Q p -matrices. Also a new approach to a codingtheory, which is based on the Q p -matrices, … As example we can see in Table 3 the matrix Q 5 and its “inverse” matrix Q −5 , …
… i=0 j=0 A standard result of matrixtheory ensures that if A is strictly positive definite, then the inverse exists and the determinant is not 0 and hence the above pdf is well defined. …
… codes, the basic concepts are extended for several general codes, including the practically important class of turbo codes… topics of information theory, coding and communication theory. …
… Coding Theorem, Section 4.5 on the main codingtheory problem (this section begins with a summary of results that can be covered quickly), Section 5.2 on weight distributions of codes …
… Codingtheory is concerned with successfully … to codingtheory whilst only assuming basic linear algebra. It contains a detailed and rigorous introduction to the theory of block codes and …
… ER Berlekamp's Algebraic CodingTheory (reference [2]) is a must. For a very well-written … theory and codingtheory I recommend: RJ McEliece, The Theory of Information and Coding (…
… to optical codingtheory. In a clear, concise manner, this book presents the mathematical concepts essential to optical codingtheory. It covers Galois fields, vector space, matrixtheory, …
… (using Neumann series) of matrixinversion is opted rather than computing the exact inverse. We describe the general setting in which our pre-coding is assumed to operate, discuss the …