Information on Result #685765
Linear OA(761, 123, F7, 27) (dual of [123, 62, 28]-code), using construction X applied to Ce(26) ⊂ Ce(23) based on
- linear OA(759, 115, F7, 27) (dual of [115, 56, 28]-code), using an extension Ce(26) of the narrow-sense BCH-code C(I) with length 114 | 73−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(753, 115, F7, 24) (dual of [115, 62, 25]-code), using an extension Ce(23) of the narrow-sense BCH-code C(I) with length 114 | 73−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(72, 8, F7, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,7)), using
- extended Reed–Solomon code RSe(6,7) [i]
- Hamming code H(2,7) [i]
- algebraic-geometric code AG(F, Q+1P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F7 with g(F) = 0 and N(F) ≥ 8, using the rational function field F7(x) [i]
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.