Information on Result #1484929
Linear OOA(596, 667545, F5, 3, 13) (dual of [(667545, 3), 2002539, 14]-NRT-code), using OOA 2-folding based on linear OOA(596, 1335090, F5, 2, 13) (dual of [(1335090, 2), 2670084, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(596, 1335091, F5, 2, 13) (dual of [(1335091, 2), 2670086, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(596, 1335091, F5, 13) (dual of [1335091, 1334995, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(596, 1953157, F5, 13) (dual of [1953157, 1953061, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(591, 1953125, F5, 13) (dual of [1953125, 1953034, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(564, 1953125, F5, 9) (dual of [1953125, 1953061, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(55, 32, F5, 3) (dual of [32, 27, 4]-code or 32-cap in PG(4,5)), using
- discarding factors / shortening the dual code based on linear OA(55, 42, F5, 3) (dual of [42, 37, 4]-code or 42-cap in PG(4,5)), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(596, 1953157, F5, 13) (dual of [1953157, 1953061, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(596, 1335091, F5, 13) (dual of [1335091, 1334995, 14]-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.