Information on Result #716811
Linear OA(8161, 548, F8, 57) (dual of [548, 387, 58]-code), using construction XX applied to C1 = C([29,81]), C2 = C([25,74]), C3 = C1 + C2 = C([29,74]), and C∩ = C1 ∩ C2 = C([25,81]) based on
- linear OA(8139, 511, F8, 53) (dual of [511, 372, 54]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {29,30,…,81}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(8130, 511, F8, 50) (dual of [511, 381, 51]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {25,26,…,74}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(8148, 511, F8, 57) (dual of [511, 363, 58]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {25,26,…,81}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(8121, 511, F8, 46) (dual of [511, 390, 47]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {29,30,…,74}, and designed minimum distance d ≥ |I|+1 = 47 [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(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.