Information on Result #719479
Linear OA(990, 777, F9, 27) (dual of [777, 687, 28]-code), using construction XX applied to C1 = C([725,18]), C2 = C([6,23]), C3 = C1 + C2 = C([6,18]), and C∩ = C1 ∩ C2 = C([725,23]) based on
- 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 = {−3,−2,…,18}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(954, 728, F9, 18) (dual of [728, 674, 19]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {6,7,…,23}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- 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 = {−3,−2,…,23}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(939, 728, F9, 13) (dual of [728, 689, 14]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {6,7,…,18}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(911, 28, F9, 8) (dual of [28, 17, 9]-code), using
- extended algebraic-geometric code AGe(F,19P) [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,19P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(96, 21, F9, 4) (dual of [21, 15, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- 1 times truncation [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), 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.