Information on Result #1299011
Linear OA(3188, 2244, F3, 37) (dual of [2244, 2056, 38]-code), using construction X with Varšamov bound based on
- linear OA(3185, 2238, F3, 37) (dual of [2238, 2053, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(28) [i] based on
- linear OA(3169, 2187, F3, 37) (dual of [2187, 2018, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3134, 2187, F3, 29) (dual of [2187, 2053, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(316, 51, F3, 7) (dual of [51, 35, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to Ce(36) ⊂ Ce(28) [i] based on
- linear OA(3185, 2241, F3, 36) (dual of [2241, 2056, 37]-code), using Gilbert–Varšamov bound and bm = 3185 > Vbs−1(k−1) = 4655 857418 952683 416093 629048 860698 058893 524354 172613 958620 858941 749206 401354 791145 887489 [i]
- linear OA(30, 3, F3, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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.