Information on Result #1831762
OOA(2777, 265822, S27, 2, 17), using (u, u+v)-construction based on
- OOA(2712, 100, S27, 2, 8), using
- extracting embedded OOA [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
- extracting embedded OOA [i] based on (4, 12, 100)-net in base 27, using
- linear OOA(2765, 265722, F27, 2, 17) (dual of [(265722, 2), 531379, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2765, 531444, F27, 17) (dual of [531444, 531379, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2765, 531445, F27, 17) (dual of [531445, 531380, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(2765, 531441, F27, 17) (dual of [531441, 531376, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2761, 531441, F27, 16) (dual of [531441, 531380, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(16) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(2765, 531445, F27, 17) (dual of [531445, 531380, 18]-code), using
- OOA 2-folding [i] based on linear OA(2765, 531444, F27, 17) (dual of [531444, 531379, 18]-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.