Information on Result #991440
Linear OOA(8177, 177208, F81, 3, 21) (dual of [(177208, 3), 531547, 22]-NRT-code), using OOA 3-folding based on linear OA(8177, 531624, F81, 21) (dual of [531624, 531547, 22]-code), using
- (u, u+v)-construction [i] based on
- linear OA(8116, 182, F81, 10) (dual of [182, 166, 11]-code), using
- (u, u+v)-construction [i] based on
- linear OA(815, 82, F81, 5) (dual of [82, 77, 6]-code or 82-arc in PG(4,81)), using
- extended Reed–Solomon code RSe(77,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(8111, 100, F81, 10) (dual of [100, 89, 11]-code), using
- extended algebraic-geometric code AGe(F,89P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OA(815, 82, F81, 5) (dual of [82, 77, 6]-code or 82-arc in PG(4,81)), using
- (u, u+v)-construction [i] based on
- linear OA(8161, 531442, F81, 21) (dual of [531442, 531381, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(8116, 182, F81, 10) (dual of [182, 166, 11]-code), 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.