Information on Result #1831720
OOA(2758, 265807, S27, 2, 13), using (u, u+v)-construction based on
- OOA(278, 82, S27, 2, 6), using
- extracting embedded OOA [i] based on (2, 8, 82)-net in base 27, using
- base change [i] based on digital (0, 6, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- base change [i] based on digital (0, 6, 82)-net over F81, using
- extracting embedded OOA [i] based on (2, 8, 82)-net in base 27, using
- linear OOA(2750, 265725, F27, 2, 13) (dual of [(265725, 2), 531400, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2750, 531450, F27, 13) (dual of [531450, 531400, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2750, 531451, F27, 13) (dual of [531451, 531401, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,5]) [i] based on
- linear OA(2749, 531442, F27, 13) (dual of [531442, 531393, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(2741, 531442, F27, 11) (dual of [531442, 531401, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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([0,6]) ⊂ C([0,5]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2750, 531451, F27, 13) (dual of [531451, 531401, 14]-code), using
- OOA 2-folding [i] based on linear OA(2750, 531450, F27, 13) (dual of [531450, 531400, 14]-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.