Information on Result #1476205
Linear OOA(3133, 829, F3, 3, 27) (dual of [(829, 3), 2354, 28]-NRT-code), using OOA 2-folding based on linear OOA(3133, 1658, F3, 2, 27) (dual of [(1658, 2), 3183, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3133, 1659, F3, 2, 27) (dual of [(1659, 2), 3185, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3133, 1659, F3, 27) (dual of [1659, 1526, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(3133, 2214, F3, 27) (dual of [2214, 2081, 28]-code), using
- construction X applied to Ce(27) ⊂ Ce(22) [i] based on
- linear OA(3127, 2187, F3, 28) (dual of [2187, 2060, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3106, 2187, F3, 23) (dual of [2187, 2081, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(36, 27, F3, 3) (dual of [27, 21, 4]-code or 27-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(27) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(3133, 2214, F3, 27) (dual of [2214, 2081, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3133, 1659, F3, 27) (dual of [1659, 1526, 28]-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.