منابع مشابه
On constructing embedded multilevel trellis codes
A design technique is presented to reduce the search time for trellis codes with multileveVphase modulation. Codes are constructed by connecting trellis diagrams for codes with fewer states in parallel. For example, an N-state code can be constructed by connecting two N/Z-state codes. The way in which the embedded codes are connected increases the upper limit on minimum free distance otherwise ...
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This thesis focuses on designing Low-Density Parity-Check (LDPC) codes for forward-error-correction. The target application is real-time multimedia communications over packet networks. We investigate two code design issues, which are important in the target application scenarios, designing LDPC codes with low decoding latency, and constructing capacity-approaching LDPC codes with very low error...
متن کاملConstructing critical indecomposable codes
Critical indecomposable codes were introduced by Assmus [1], who also gave a recursive construction for these objects. One of the key ingredients in the construction is an auxiliary code, which is an indecomposable code of minimum distance at least 3. In terms of actually being able to construct all critical indecomposable codes, however, Assmus leaves many unanswered questions about these auxi...
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Let X be a non-complete code with a nite deciphering delay. We prove that an uncompletable word w of length O(md) exists, where d stands for the delay and m stands for the length of the longest words in X . The proof leads to an explicit construction of w. This result partially resolves a conjecture proposed by Antonio Restivo in 1979. c © 2001 Elsevier Science B.V. All rights reserved.
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Recently, codes over some special finite rings especially chain rings have been studied. More recently, codes over finite non-chain rings have been also considered. Study on codes over such rings or rings in general is motivated by the existence of some special maps called Gray maps whose images give codes over fields. Quantum error-correcting (QEC) codes play a crucial role in protecting quantum ...
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ژورنال
عنوان ژورنال: Information and Control
سال: 1961
ISSN: 0019-9958
DOI: 10.1016/s0019-9958(61)80033-8