Bounds on subspace codes based on totally isotropic subspaces in unitary spaces
2016 ◽
Vol 08
(04)
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pp. 1650056
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Keyword(s):
In this paper, the Sphere-packing bound, Singleton bound, Wang–Xing–Safavi-Naini bound, Johnson bound and Gilbert–Varshamov bound on the subspace codes [Formula: see text] based on [Formula: see text]-dimensional totally isotropic subspaces in unitary space [Formula: see text] over finite fields [Formula: see text] are presented. Then, we prove that [Formula: see text] codes based on [Formula: see text]-dimensional totally isotropic subspaces in unitary space [Formula: see text] attain the Wang–Xing–Safavi-Naini bound if and only if they are certain Steiner structures in [Formula: see text].
2019 ◽
Vol 12
(05)
◽
pp. 1950069
Keyword(s):
2019 ◽
Vol 30
(05)
◽
pp. 735-757
Keyword(s):
2020 ◽
Vol 31
(03)
◽
pp. 327-339
Keyword(s):
1997 ◽
Vol 251
◽
pp. 239-248
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