Information on Result #718894
Linear OA(939, 755, F9, 12) (dual of [755, 716, 13]-code), using construction XX applied to C1 = C([0,9]), C2 = C([6,11]), C3 = C1 + C2 = C([6,9]), and C∩ = C1 ∩ C2 = C([0,11]) based on
- linear OA(925, 728, F9, 10) (dual of [728, 703, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(918, 728, F9, 6) (dual of [728, 710, 7]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {6,7,…,11}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(931, 728, F9, 12) (dual of [728, 697, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(912, 728, F9, 4) (dual of [728, 716, 5]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {6,7,8,9}, and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(97, 20, F9, 5) (dual of [20, 13, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- linear OA(91, 7, F9, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-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.