Information on Result #876284
Linear OOA(8112, 123, F81, 2, 7) (dual of [(123, 2), 234, 8]-NRT-code), using OOA 2-folding based on linear OA(8112, 246, F81, 7) (dual of [246, 234, 8]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(812, 82, F81, 2) (dual of [82, 80, 3]-code or 82-arc in PG(1,81)), using
- extended Reed–Solomon code RSe(80,81) [i]
- Hamming code H(2,81) [i]
- linear OA(813, 82, F81, 3) (dual of [82, 79, 4]-code or 82-arc in PG(2,81) or 82-cap in PG(2,81)), using
- extended Reed–Solomon code RSe(79,81) [i]
- oval in PG(2, 81) [i]
- linear OA(817, 82, F81, 7) (dual of [82, 75, 8]-code or 82-arc in PG(6,81)), using
- extended Reed–Solomon code RSe(75,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(812, 82, F81, 2) (dual of [82, 80, 3]-code or 82-arc in PG(1,81)), 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.
Other Results with Identical Parameters
None.
Depending Results
None.