Information on Result #1303866
Linear OA(27102, 368, F27, 57) (dual of [368, 266, 58]-code), using construction X with Varšamov bound based on
- linear OA(27101, 366, F27, 57) (dual of [366, 265, 58]-code), using
- construction X applied to Ce(56) ⊂ Ce(55) [i] based on
- linear OA(27101, 365, F27, 57) (dual of [365, 264, 58]-code), using an extension Ce(56) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(27100, 365, F27, 56) (dual of [365, 265, 57]-code), using an extension Ce(55) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(270, 1, F27, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(56) ⊂ Ce(55) [i] based on
- linear OA(27101, 367, F27, 56) (dual of [367, 266, 57]-code), using Gilbert–Varšamov bound and bm = 27101 > Vbs−1(k−1) = 720361 008624 257382 854224 456415 377790 833200 623863 559476 545748 586565 037188 225268 089032 334762 127807 391886 166671 223480 945291 086793 757063 924104 952745 [i]
- linear OA(270, 1, F27, 0) (dual of [1, 1, 1]-code) (see above)
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.