Information on Result #720518
Linear OA(9132, 769, F9, 44) (dual of [769, 637, 45]-code), using construction XX applied to C1 = C([721,32]), C2 = C([1,36]), C3 = C1 + C2 = C([1,32]), and C∩ = C1 ∩ C2 = C([721,36]) based on
- linear OA(9109, 728, F9, 40) (dual of [728, 619, 41]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−7,−6,…,32}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(996, 728, F9, 36) (dual of [728, 632, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(9118, 728, F9, 44) (dual of [728, 610, 45]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−7,−6,…,36}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(987, 728, F9, 32) (dual of [728, 641, 33]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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, 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.