Information on Result #716453
Linear OA(8143, 557, F8, 49) (dual of [557, 414, 50]-code), using construction XX applied to C1 = C([39,81]), C2 = C([33,74]), C3 = C1 + C2 = C([39,74]), and C∩ = C1 ∩ C2 = C([33,81]) based on
- linear OA(8112, 511, F8, 43) (dual of [511, 399, 44]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {39,40,…,81}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(8109, 511, F8, 42) (dual of [511, 402, 43]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {33,34,…,74}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(8127, 511, F8, 49) (dual of [511, 384, 50]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {33,34,…,81}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(894, 511, F8, 36) (dual of [511, 417, 37]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {39,40,…,74}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(89, 24, F8, 6) (dual of [24, 15, 7]-code), using
- extended algebraic-geometric code AGe(F,17P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric code AGe(F,17P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(87, 22, F8, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-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.