Dual code

Known as: Self-dual code 
In coding theory, the dual code of a linear code is the linear code defined by where is a scalar product. In linear algebra terms, the dual code is… (More)
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Papers overview

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2008
2008
We investigate cyclic self-dual codes over $${\mathbb{F}_{2^{r}}}$$ . We give a decomposition of a repeated-root cyclic codes… (More)
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Highly Cited
1999
Highly Cited
1999
Abstmct We reveal an equivalence relation between the construction of a new class of low density MDS array codes, that we call B… (More)
  • figure 1
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Highly Cited
1998
Highly Cited
1998
Conway and Sloane have previously given an upper bound on the minimum distance of a singly-even self-dual binary code, using the… (More)
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Highly Cited
1993
Highly Cited
1993
Michael Klemm has recently studied the conditions satisfied by the complete weight enumerator of a self-dual code over Z 4 , the… (More)
  • table I
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Highly Cited
1992
Highly Cited
1992
A linear code with a complementary dual (or an LCD code) is defined to be a linear code C whose dual code C⊥ satisfies C ∩ C… (More)
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Highly Cited
1991
Highly Cited
1991
Welch's bound for a set of M complex equi-energy sequences is considered as a lower bound on the sum of the squares of the… (More)
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Highly Cited
1990
Highly Cited
1990
It is shown that the minimal distance d of a binary self-dual code of length n ≥ 74 is at most 2 [ (n + 6 )/10 ]. This bound is a… (More)
  • table I
  • table II
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Review
1983
Review
1983
A survey of self-dual codes, written for the Handbook of Coding Theory. Self-dual codes are important because many of the best… (More)
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  • table II
  • table III
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Highly Cited
1973
Highly Cited
1973
Gleason has described the general form that the weight distribution of a self-dual code over GF(2) and GF(3) can have. We give an… (More)
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1972
1972
Abstmt. It is showc that for any block length n which is a multiple of 5, there exists a binary self dual code irr which all… (More)
  • table 1
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