Information on Result #719319
Linear OA(971, 769, F9, 22) (dual of [769, 698, 23]-code), using construction XX applied to C1 = C([73,90]), C2 = C([80,94]), C3 = C1 + C2 = C([80,90]), and C∩ = C1 ∩ C2 = C([73,94]) based on
- linear OA(948, 728, F9, 18) (dual of [728, 680, 19]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {73,74,…,90}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(940, 728, F9, 15) (dual of [728, 688, 16]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {80,81,…,94}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(958, 728, F9, 22) (dual of [728, 670, 23]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {73,74,…,94}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(930, 728, F9, 11) (dual of [728, 698, 12]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {80,81,…,90}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(99, 27, F9, 6) (dual of [27, 18, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 28, F9, 6) (dual of [28, 19, 7]-code), using
- extended algebraic-geometric code AGe(F,21P) [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,21P) [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(99, 28, F9, 6) (dual of [28, 19, 7]-code), using
- linear OA(94, 14, F9, 3) (dual of [14, 10, 4]-code or 14-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.