Information on Result #719555
Linear OA(989, 771, F9, 28) (dual of [771, 682, 29]-code), using construction XX applied to C1 = C([719,14]), C2 = C([0,18]), C3 = C1 + C2 = C([0,14]), and C∩ = C1 ∩ C2 = C([719,18]) based on
- linear OA(964, 728, F9, 24) (dual of [728, 664, 25]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,14}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(949, 728, F9, 19) (dual of [728, 679, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(973, 728, F9, 28) (dual of [728, 655, 29]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,18}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(940, 728, F9, 15) (dual of [728, 688, 16]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(912, 30, F9, 8) (dual of [30, 18, 9]-code), using
- extended algebraic-geometric code AGe(F,21P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- linear OA(94, 13, F9, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,9)), 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.