Information on Result #853448
Linear OOA(9140, 393, F9, 2, 45) (dual of [(393, 2), 646, 46]-NRT-code), using OOA 2-folding based on linear OA(9140, 786, F9, 45) (dual of [786, 646, 46]-code), using
- construction XX applied to C1 = C([63,101]), C2 = C([57,93]), C3 = C1 + C2 = C([63,93]), and C∩ = C1 ∩ C2 = C([57,101]) [i] based on
- linear OA(9103, 728, F9, 39) (dual of [728, 625, 40]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {63,64,…,101}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(9100, 728, F9, 37) (dual of [728, 628, 38]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {57,58,…,93}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(9121, 728, F9, 45) (dual of [728, 607, 46]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {57,58,…,101}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(982, 728, F9, 31) (dual of [728, 646, 32]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {63,64,…,93}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(912, 33, F9, 7) (dual of [33, 21, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(912, 40, F9, 7) (dual of [40, 28, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(912, 40, F9, 7) (dual of [40, 28, 8]-code), using
- linear OA(97, 25, F9, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-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.