Information on Result #719345
Linear OA(978, 770, F9, 24) (dual of [770, 692, 25]-code), using construction XX applied to C1 = C([727,18]), C2 = C([7,22]), C3 = C1 + C2 = C([7,18]), and C∩ = C1 ∩ C2 = C([727,22]) based on
- linear OA(952, 728, F9, 20) (dual of [728, 676, 21]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,18}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(948, 728, F9, 16) (dual of [728, 680, 17]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {7,8,…,22}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- 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 = {−1,0,…,22}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(936, 728, F9, 12) (dual of [728, 692, 13]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {7,8,…,18}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(910, 26, F9, 7) (dual of [26, 16, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(910, 28, F9, 7) (dual of [28, 18, 8]-code), using
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OA(910, 28, F9, 7) (dual of [28, 18, 8]-code), using
- linear OA(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-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.