Information on Result #1621486
Linear OOA(3160, 4456, F3, 5, 26) (dual of [(4456, 5), 22120, 27]-NRT-code), using OOA 2-folding based on linear OOA(3160, 8912, F3, 3, 26) (dual of [(8912, 3), 26576, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3160, 8912, F3, 2, 26) (dual of [(8912, 2), 17664, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3160, 9858, F3, 2, 26) (dual of [(9858, 2), 19556, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3160, 19716, F3, 26) (dual of [19716, 19556, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- linear OA(3154, 19683, F3, 26) (dual of [19683, 19529, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(36, 33, F3, 3) (dual of [33, 27, 4]-code or 33-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(25) ⊂ Ce(21) [i] based on
- OOA 2-folding [i] based on linear OA(3160, 19716, F3, 26) (dual of [19716, 19556, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(3160, 9858, F3, 2, 26) (dual of [(9858, 2), 19556, 27]-NRT-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.