Information on Result #714866
Linear OA(882, 97, F8, 54) (dual of [97, 15, 55]-code), using construction XX applied to C1 = C([9,54]), C2 = C([1,44]), C3 = C1 + C2 = C([9,44]), and C∩ = C1 ∩ C2 = C([1,54]) based on
- linear OA(856, 63, F8, 46) (dual of [63, 7, 47]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {9,10,…,54}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(854, 63, F8, 44) (dual of [63, 9, 45]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(860, 63, F8, 54) (dual of [63, 3, 55]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(848, 63, F8, 36) (dual of [63, 15, 37]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {9,10,…,44}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(812, 20, F8, 9) (dual of [20, 8, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(812, 23, F8, 9) (dual of [23, 11, 10]-code), using
- algebraic-geometric code AG(F,13P) [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,13P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(812, 23, F8, 9) (dual of [23, 11, 10]-code), using
- linear OA(88, 14, F8, 7) (dual of [14, 6, 8]-code), using
- extended algebraic-geometric code AGe(F,6P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.