Information on Result #2874984
Linear OOA(3136, 1318, F3, 5, 24) (dual of [(1318, 5), 6454, 25]-NRT-code), using 31 times duplication based on linear OOA(3135, 1318, F3, 5, 24) (dual of [(1318, 5), 6455, 25]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3135, 6590, F3, 24) (dual of [6590, 6455, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(3135, 6591, F3, 24) (dual of [6591, 6456, 25]-code), using
- construction X applied to Ce(24) ⊂ Ce(19) [i] based on
- linear OA(3129, 6561, F3, 25) (dual of [6561, 6432, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3105, 6561, F3, 20) (dual of [6561, 6456, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(36, 30, F3, 3) (dual of [30, 24, 4]-code or 30-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(24) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(3135, 6591, F3, 24) (dual of [6591, 6456, 25]-code), using
Mode: Constructive and 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.