Information on Result #719949
Linear OA(9102, 773, F9, 33) (dual of [773, 671, 34]-code), using construction XX applied to C1 = C([723,21]), C2 = C([1,27]), C3 = C1 + C2 = C([1,21]), and C∩ = C1 ∩ C2 = C([723,27]) based on
- linear OA(973, 728, F9, 27) (dual of [728, 655, 28]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−5,−4,…,21}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(972, 728, F9, 27) (dual of [728, 656, 28]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(988, 728, F9, 33) (dual of [728, 640, 34]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−5,−4,…,27}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(957, 728, F9, 21) (dual of [728, 671, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(97, 22, F9, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code) (see above)
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.