Information on Result #1301953
Linear OA(722, 353, F7, 8) (dual of [353, 331, 9]-code), using construction X with Varšamov bound based on
- linear OA(721, 351, F7, 8) (dual of [351, 330, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- linear OA(719, 343, F7, 8) (dual of [343, 324, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(713, 343, F7, 5) (dual of [343, 330, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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]
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- linear OA(721, 352, F7, 7) (dual of [352, 331, 8]-code), using Gilbert–Varšamov bound and bm = 721 > Vbs−1(k−1) = 116417 105896 833847 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: 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.