Information on Result #716024
Linear OA(8120, 548, F8, 41) (dual of [548, 428, 42]-code), using construction XX applied to C1 = C([503,28]), C2 = C([0,32]), C3 = C1 + C2 = C([0,28]), and C∩ = C1 ∩ C2 = C([503,32]) based on
- linear OA(897, 511, F8, 37) (dual of [511, 414, 38]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,28}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(885, 511, F8, 33) (dual of [511, 426, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(8106, 511, F8, 41) (dual of [511, 405, 42]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,32}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(876, 511, F8, 29) (dual of [511, 435, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(810, 24, F8, 7) (dual of [24, 14, 8]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- algebraic-geometric code AG(F,8P) with degPÂ =Â 2 [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,16P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(84, 13, F8, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,8)), 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.