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Results tagged with it.information-theory
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user 27829
Theoretical and experimental aspects of information theory and coding theory. This tag covers but is not limited to following branches: information theory, information geometry, optimal transportation theory, coding theory.
2
votes
Another formulation of error-correcting coding problem
Here's a long comment that can't be put in the comment section:
If you know the location of errors in a binary system, and if errors are just bit flips, you can just flip those erroneous guys again. …
- 3,692
1
vote
Doing column permutation under row overlap constraint
I doubt there is a particular algorithm worth mentioning for avoiding $2 \times 2$ all-one submatrices (or better known as $4$-cycles in the context of LDPC codes) in parity-check matrices which is sp …
- 3,692
5
votes
Cyclic Hamming Code
Before answering your question, not every Hamming code is equivalent to some cyclic code. For instance, the ternary $[4,2,3]_3$ Hamming code (aka the tetracode) is not equivalent to any cyclic code.
…
- 3,692
4
votes
Probability of false decoding with LDPC codes
Generally speaking, understanding the decoding error probability of an LDPC code is a very difficult problem. Among major channels that have extensively been studied, as far as I know, binary erasure …
- 3,692
3
votes
Good codes in practice for correcting combination of errors and erasures
Since you asked a reference, the early access pre-edit version of a paper that addresses exactly this problem you're considering just appeared in the IEEE Transactions on Information Theory:
K. A. S. …
- 3,692
9
votes
Best upper bound on rate for q-ary codes
So, the supposedly the sharpest one among all known bounds is somehow poorer than the bound you learn in Coding Theory 101 if the alphabet size $q$ approaches infinity. I think the reason you find it …
- 3,692
5
votes
Hot-topics in error correcting coding related to interesting math. ?
Edit: since I only implicitly answered your question in the title (i.e., hot topics in error coding codes related to interesting math), I think one of the current hottest ones is quantum error-correct …
- 3,692