Information on Result #1831719
OOA(2759, 265822, S27, 2, 13), using (u, u+v)-construction based on
- OOA(2710, 100, S27, 2, 6), using
- extracting embedded OOA [i] based on (4, 10, 100)-net in base 27, using
- 2 times m-reduction [i] based on (4, 12, 100)-net in base 27, using
- base change [i] based on digital (1, 9, 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, 9, 100)-net over F81, using
- 2 times m-reduction [i] based on (4, 12, 100)-net in base 27, using
- extracting embedded OOA [i] based on (4, 10, 100)-net in base 27, using
- linear OOA(2749, 265722, F27, 2, 13) (dual of [(265722, 2), 531395, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2749, 531444, F27, 13) (dual of [531444, 531395, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2749, 531445, F27, 13) (dual of [531445, 531396, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(2749, 531441, F27, 13) (dual of [531441, 531392, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2745, 531441, F27, 12) (dual of [531441, 531396, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(2749, 531445, F27, 13) (dual of [531445, 531396, 14]-code), using
- OOA 2-folding [i] based on linear OA(2749, 531444, F27, 13) (dual of [531444, 531395, 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.