Information on Result #718968
Linear OA(939, 746, F9, 13) (dual of [746, 707, 14]-code), using construction XX applied to C1 = C([726,9]), C2 = C([3,10]), C3 = C1 + C2 = C([3,9]), and C∩ = C1 ∩ C2 = C([726,10]) based on
- linear OA(931, 728, F9, 12) (dual of [728, 697, 13]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−2,−1,…,9}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(924, 728, F9, 8) (dual of [728, 704, 9]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {3,4,…,10}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(934, 728, F9, 13) (dual of [728, 694, 14]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−2,−1,…,10}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(921, 728, F9, 7) (dual of [728, 707, 8]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {3,4,…,9}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(95, 15, F9, 4) (dual of [15, 10, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(95, 16, F9, 4) (dual of [16, 11, 5]-code), using
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OA(95, 16, F9, 4) (dual of [16, 11, 5]-code), using
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.