Information on Result #1486241
Linear OOA(5145, 1532, F5, 3, 36) (dual of [(1532, 3), 4451, 37]-NRT-code), using OOA 2-folding based on linear OOA(5145, 3064, F5, 2, 36) (dual of [(3064, 2), 5983, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5145, 3065, F5, 2, 36) (dual of [(3065, 2), 5985, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5145, 3065, F5, 36) (dual of [3065, 2920, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(5145, 3144, F5, 36) (dual of [3144, 2999, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(31) [i] based on
- linear OA(5141, 3125, F5, 36) (dual of [3125, 2984, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(5126, 3125, F5, 32) (dual of [3125, 2999, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(54, 19, F5, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,5)), using
- construction X applied to Ce(35) ⊂ Ce(31) [i] based on
- discarding factors / shortening the dual code based on linear OA(5145, 3144, F5, 36) (dual of [3144, 2999, 37]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5145, 3065, F5, 36) (dual of [3065, 2920, 37]-code), 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.