Information on Result #720513
Linear OA(9121, 759, F9, 42) (dual of [759, 638, 43]-code), using construction XX applied to C1 = C([723,33]), C2 = C([1,36]), C3 = C1 + C2 = C([1,33]), and C∩ = C1 ∩ C2 = C([723,36]) based on
- linear OA(9106, 728, F9, 39) (dual of [728, 622, 40]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−5,−4,…,33}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(996, 728, F9, 36) (dual of [728, 632, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(9112, 728, F9, 42) (dual of [728, 616, 43]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−5,−4,…,36}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(990, 728, F9, 33) (dual of [728, 638, 34]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(97, 23, F9, 5) (dual of [23, 16, 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(92, 8, F9, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,9)), using
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), 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.