Information on Result #1610782
Linear OOA(3225, 9083, F3, 4, 37) (dual of [(9083, 4), 36107, 38]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3225, 9083, F3, 2, 37) (dual of [(9083, 2), 17941, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3225, 9859, F3, 2, 37) (dual of [(9859, 2), 19493, 38]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3225, 19718, F3, 37) (dual of [19718, 19493, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(31) [i] based on
- linear OA(3217, 19683, F3, 37) (dual of [19683, 19466, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3190, 19683, F3, 32) (dual of [19683, 19493, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(38, 35, F3, 4) (dual of [35, 27, 5]-code), using
- discarding factors / shortening the dual code based on 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]
- discarding factors / shortening the dual code based on linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- construction X applied to Ce(36) ⊂ Ce(31) [i] based on
- OOA 2-folding [i] based on linear OA(3225, 19718, F3, 37) (dual of [19718, 19493, 38]-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.