Information on Result #641256
Linear OA(767, 73, F7, 50) (dual of [73, 6, 51]-code), using juxtaposition based on
- 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]
- linear OA(759, 65, F7, 47) (dual of [65, 6, 48]-code), using
- construction X applied to C1 ⊂ C0 [i] based on
- linear OA(754, 57, F7, 48) (dual of [57, 3, 49]-code), using code C1 for u = 3 by de Boer and Brouwer [i]
- linear OA(751, 57, F7, 41) (dual of [57, 6, 42]-code), using code C0 for u = 3 by de Boer and Brouwer [i]
- linear OA(75, 8, F7, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,7)), using
- extended Reed–Solomon code RSe(3,7) [i]
- the expurgated narrow-sense BCH-code C(I) with length 8 | 72−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- construction X applied to C1 ⊂ C0 [i] based on
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.