Information on Result #719458
Linear OA(984, 769, F9, 26) (dual of [769, 685, 27]-code), using construction XX applied to C1 = C([721,14]), C2 = C([1,18]), C3 = C1 + C2 = C([1,14]), and C∩ = C1 ∩ C2 = C([721,18]) based on
- linear OA(961, 728, F9, 22) (dual of [728, 667, 23]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−7,−6,…,14}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(948, 728, F9, 18) (dual of [728, 680, 19]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(970, 728, F9, 26) (dual of [728, 658, 27]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−7,−6,…,18}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(939, 728, F9, 14) (dual of [728, 689, 15]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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.