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Martine Decouvelaere

dblp:134/5277 · DBLP profile ↗
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1ranked-venue papers
0as first author
0since 2021 · last 1979
—ORCID · none

Domains — the database's venue-derived domains; a paper can count in several

Theory of computation · 1

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Theoretical computer science
1 paper
Coding theory · 100%

Topics — the 7 heaviest of 7, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Coding theory › error-correcting codes
block codes
0.011979
Replication decoding · IEEE Trans. Inf. Theory 1979
Coding theory › error-correcting codes
decoding
0.011979
Replication decoding · IEEE Trans. Inf. Theory 1979
Coding theory
error-correcting codes
0.011979
Replication decoding · IEEE Trans. Inf. Theory 1979
Coding theory › error-correcting codes › block codes
linear block codes
0.011979
Replication decoding · IEEE Trans. Inf. Theory 1979
Coding theory › error-correcting codes › decoding › decoding algorithms › optimal decoding
maximum-likelihood decoding
0.011979
Replication decoding · IEEE Trans. Inf. Theory 1979
Coding theory › error-correcting codes
convolutional codes
0.011979
Replication decoding · IEEE Trans. Inf. Theory 1979
Coding theory › error-correcting codes › convolutional codes › convolutional code decoding
decision feedback decoding
0.011979
Replication decoding · IEEE Trans. Inf. Theory 1979

Methods — techniques the papers use, named apart from their topics

trellis representation · 0.0threshold decoding · 0.0soft-decision demodulation · 0.0
YearPublicationVenuePosition
1979 Replication decoding
abstract
Any symbol in a redundant code can be recovered when it belongs to certain erasure patterns. Several alternative expressions of a given symbol, to be referred to as its replicas, can therefore be computed in terms of other ones. Decoding is interpreted as decoding upon a received symbol, given itself and a number of such replicas, expressed in terms of other received symbols. For linearq-ary (n,k)block codes, soft-decision demodulation and memoryless channels, the maximum-likelihood decision rule on a given symbol is formulated in terms ofr \leqn - klinearly independent replicas from the parity-check equations. All replicas deriving from therselected replicas by linear combination are actually taken into account in this decision rule. Its implementation can be direct; use transformations or a sequential circuit implementing a trellis representation of the parity-check matrix. Ifr = n - k, decoding is optimum, in the sense of symbol-by-symbol maximum-likelihoed. Simplification results in the transformed and sequential implementations whenr < n - k. If the selected replicas are disjoint, generalized (q-ary, weighted) threshold decoding results. The decoding process can easily be modffied in order to provide word-by-word maximum-likelihood decoding. Convolutional codes are briefly considered. Two specific problems are discussed: the use of previous decisions, which leads to a weighted generalization of feedback decoding, and the extension of replication decoding to nonsystematic codes.
Gerard Battail, Martine Decouvelaere, Philippe Godlewski
IEEE Trans. Inf. Theory2