New nonbinary self-dual codes
TA Gulliver, M Harada - IEEE transactions on information theory, 2008 - ieeexplore.ieee.org
… codes, we construct self-dual codes over 7 which have larger minimum weights than the
previously known self-dual codes … circulant codes, we have found Hermitian self-dual codes with …
previously known self-dual codes … circulant codes, we have found Hermitian self-dual codes with …
New non-binary quantum codes derived from a class of linear codes
J Gao, Y Wang - IEEE Access, 2019 - ieeexplore.ieee.org
… tance than that code. Further, since the highest minimum distance of the self-dual code of
length 8 over F3 is 3, then we can not get the quantum code [[8, 0, ≥ 4]]3 by self-dual codes. …
length 8 over F3 is 3, then we can not get the quantum code [[8, 0, ≥ 4]]3 by self-dual codes. …
Weight enumerators of self-dual quantum codes
Y Chen, S Ren - arXiv preprint arXiv:2409.03576, 2024 - arxiv.org
… the weight enumerator WC(x,y) of a self-dual code C can be viewed as a polynomial invariant
of G. … in computing weight enumerators of classical self-dual codes; see for example, [Gle71…
of G. … in computing weight enumerators of classical self-dual codes; see for example, [Gle71…
Some self-dual codes and isodual codes constructed by matrix product codes
X Pan, H Chen, H Liu - Designs, Codes and Cryptography, 2024 - Springer
… codes for \(q\ge 64\) and \(q\ne 125\) in [1, 41]. The constructions of Euclidean self-dual GRS
codes … of extremal Euclidean self-dual codes or optimal Euclidean self-dual codes of large …
codes … of extremal Euclidean self-dual codes or optimal Euclidean self-dual codes of large …
Some restrictions on the weight enumerators of near-extremal ternary self-dual codes and quaternary Hermitian self-dual codes
M Araya, M Harada - Designs, Codes and Cryptography, 2023 - Springer
… self-dual codes of length divisible by 12 and quaternary near-extremal Hermitian self-dual
codes … for which there is a ternary near-extremal self-dual code of length 12m for \(m =3,4,5,6\). …
codes … for which there is a ternary near-extremal self-dual code of length 12m for \(m =3,4,5,6\). …
[PDF][PDF] Narain CFTs from nonbinary stabilizer codes
S Yahagic - inspirehep.net
… To construct a Lorentzian even self-dual lattice, we need to prepare an even self-dual code
C… As expected, if we consider self-dual codes (m1 = m2), we find the radius to be the self-dual …
C… As expected, if we consider self-dual codes (m1 = m2), we find the radius to be the self-dual …
Nonbinary quantum codes
EM Rains - IEEE Transactions on Information Theory, 1999 - ieeexplore.ieee.org
… Corollary 12: For all but a finite number of primes , can be extended to a self-dual MDS code
of … But then [11, Theorem 20] allows us to construct the desired self-dual MDS code of length …
of … But then [11, Theorem 20] allows us to construct the desired self-dual MDS code of length …
On self-dual affine-invariant codes
P Charpin, F Levy-dit-Vehel - Journal of Combinatorial Theory, Series A, 1994 - Elsevier
… self-dual code, we always assume that m is odd. By the Gleason-Pierce Theorem a self-dual
code … but we do not have such a simple formulation for the non-binary case (cf. [-5, Chap. 3])…
code … but we do not have such a simple formulation for the non-binary case (cf. [-5, Chap. 3])…
Self-dual codes
EM Rains, NJA Sloane - arXiv preprint math/0208001, 2002 - arxiv.org
… useful for studying nonbinary codes. For the … self-dual code then C ⊗ F4 is a self-dual code
belonging to both families 4H and 4E. Conversely, it is not difficult to show that if C is self-dual …
belonging to both families 4H and 4E. Conversely, it is not difficult to show that if C is self-dual …
Code constructions and code families for nonbinary quantum stabilizer code
AU Ketkar - 2005 - oaktrust.library.tamu.edu
… stabilizer codes such as various code families and general code constructions are generalized
to the nonbinary … Let B be a self dual basis of Fql over Fq. Expanding each element of Fql …
to the nonbinary … Let B be a self dual basis of Fql over Fq. Expanding each element of Fql …