Information on Result #720636
Linear OA(9135, 772, F9, 45) (dual of [772, 637, 46]-code), using construction XX applied to C1 = C([61,101]), C2 = C([57,93]), C3 = C1 + C2 = C([61,93]), and C∩ = C1 ∩ C2 = C([57,101]) based on
- linear OA(9109, 728, F9, 41) (dual of [728, 619, 42]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {61,62,…,101}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(9100, 728, F9, 37) (dual of [728, 628, 38]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {57,58,…,93}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(9121, 728, F9, 45) (dual of [728, 607, 46]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {57,58,…,101}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(988, 728, F9, 33) (dual of [728, 640, 34]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {61,62,…,93}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- 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
- 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.