Information on Result #1831841
OOA(27106, 265825, S27, 2, 23), using (u, u+v)-construction based on
- OOA(2716, 100, S27, 2, 11), using
- extracting embedded OOA [i] based on (5, 16, 100)-net in base 27, using
- base change [i] based on digital (1, 12, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- base change [i] based on digital (1, 12, 100)-net over F81, using
- extracting embedded OOA [i] based on (5, 16, 100)-net in base 27, using
- linear OOA(2790, 265725, F27, 2, 23) (dual of [(265725, 2), 531360, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2790, 531450, F27, 23) (dual of [531450, 531360, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2790, 531451, F27, 23) (dual of [531451, 531361, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- linear OA(2789, 531442, F27, 23) (dual of [531442, 531353, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(2781, 531442, F27, 21) (dual of [531442, 531361, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(271, 9, F27, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2790, 531451, F27, 23) (dual of [531451, 531361, 24]-code), using
- OOA 2-folding [i] based on linear OA(2790, 531450, F27, 23) (dual of [531450, 531360, 24]-code), using
Mode: Constructive.
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.