Information on Result #1648220
Linear OOA(3201, 136764, F3, 5, 25) (dual of [(136764, 5), 683619, 26]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3201, 136764, F3, 3, 25) (dual of [(136764, 3), 410091, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3201, 177160, F3, 3, 25) (dual of [(177160, 3), 531279, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3201, 531480, F3, 25) (dual of [531480, 531279, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3201, 531482, F3, 25) (dual of [531482, 531281, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(19) [i] based on
- linear OA(3193, 531441, F3, 25) (dual of [531441, 531248, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3157, 531441, F3, 20) (dual of [531441, 531284, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]
- construction X applied to Ce(24) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(3201, 531482, F3, 25) (dual of [531482, 531281, 26]-code), using
- OOA 3-folding [i] based on linear OA(3201, 531480, F3, 25) (dual of [531480, 531279, 26]-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.