Information on Result #719068
Linear OA(959, 769, F9, 17) (dual of [769, 710, 18]-code), using construction XX applied to C1 = C([4,16]), C2 = C([0,9]), C3 = C1 + C2 = C([4,9]), and C∩ = C1 ∩ C2 = C([0,16]) based on
- linear OA(939, 728, F9, 13) (dual of [728, 689, 14]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {4,5,…,16}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- 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(946, 728, F9, 17) (dual of [728, 682, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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 = {4,5,…,9}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(910, 31, F9, 6) (dual of [31, 21, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(910, 40, F9, 6) (dual of [40, 30, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(910, 40, F9, 6) (dual of [40, 30, 7]-code), using
- linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), using
- extended Reed–Solomon code RSe(7,9) [i]
- oval in PG(2, 9) [i]
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.