Information on Result #841455
Linear OOA(766, 90, F7, 2, 26) (dual of [(90, 2), 114, 27]-NRT-code), using OOA 2-folding based on linear OA(766, 180, F7, 26) (dual of [180, 114, 27]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- linear OA(764, 172, F7, 29) (dual of [172, 108, 30]-code), using an extension Ce(28) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(758, 172, F7, 23) (dual of [172, 114, 24]-code), using an extension Ce(22) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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.