The new bounds are stronger for small n, but weaker for fixed e/n in the limit of large n and L than known random coding bounds.Elias, P.IEEE Transactions on Information TheoryP. ELIAS. Error-correcting codes for list decoding. IEEE Transactions on Information Theory, 37:5-12. 1991....
This dissertation is a study of special types of error correcting codes and their applications. It consists of three parts.First, we study Generalized Reed-Muller codes (over prime fields), aka low-degree polynomials. Specifically, we show that these codes are locally testable. Locally testable ...
adetailedlistoftopics,problems,scheduleofexams,grading policy,referencebooks. ENEE626,CMSC858B,AMSC698B ErrorCorrectingCodes 2 PartI.Introductiontocodingtheory 3 Planfortoday: 1.Syllabus,logistics 2.Modelofacommunicationsystem 3.BinarySymmetricChannel ...
For all the codes of the class in question, therefore, there exists a decoding scheme analogous to Peterson's algorithm for BCH codes. The codes are constructed by identifying the initial space of binary vectors with some set of ... VD Goppa - 《Probl Peredachi Inf》 被引量: 132发表: ...
Error correcting output codes (ECOC) represent a successful extension of binary classiflers to address the multiclass problem. Lately, the ECOC framework was extended from the binary to the ternary case to allow classes to be ignored by a certain classifler, allowing in this way to increase the...
The turbo-code encoder is built using a parallel concatenation of two recursive systematic convolutional codes, and the associated decoder, using a feedback decoding rule, is implemented as P pipelined identical elementary decoders会议名称: Communications, 1993. ICC 93. Geneva. Technical Program, ...
摘要: A decoding design based on "product rule" for posterior probabilities estimation is proposed. A bias–variance analysis is made to show that the decrease in error for above decoding strategy. A decoding design based on "linear rule" for posterior probabilities estimation is proposed....
ISMAILOGLU F,SPRINGHUIZEN I G,SMIRNOV E,et al.Fractional programming weighted decoding for error-correcting output codes[J].Lecture Note in Computer Science,2015,9132:38-50.Fractional programming weighted decoding for error-correcting output codes. ISMAILOGLU F,SPRINGHUIZEN I G,SMIRNOV E,et al....
decoding for linear codes 61 4.8.3 Syndrome decoding 62 Exercises 66 5 Bounds in coding theory 75 5.1 The main coding theory problem 75 5.2 Lower bounds 80 5.2.1 Sphere-covering bound 80 5.2.2 Gilbert–Varshamov bound 82 5.3 Hamming bound and perfect codes 83 5.3.1 Binary Hamming codes ...
Burst error correcting codes, such as Fire codes, have traditionally been decoded using Linear Feedback Shift Registers (LFSR). However, such sequential decoding schemes are not suitable for modern ultra high-speed channels that demand high-speed parallel decoding employing only combinational logic circ...