Information on Result #1836715
OOA(9132, 19732, S9, 3, 25), using (u, u+v)-construction based on
- OOA(921, 48, S9, 3, 12), using
- extracting embedded OOA [i] based on (9, 21, 48)-net in base 9, using
- base change [i] based on digital (2, 14, 48)-net over F27, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
- base change [i] based on digital (2, 14, 48)-net over F27, using
- extracting embedded OOA [i] based on (9, 21, 48)-net in base 9, using
- linear OOA(9111, 19684, F9, 3, 25) (dual of [(19684, 3), 58941, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9111, 59052, F9, 25) (dual of [59052, 58941, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(9111, 59054, F9, 25) (dual of [59054, 58943, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(9111, 59049, F9, 25) (dual of [59049, 58938, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(9106, 59049, F9, 24) (dual of [59049, 58943, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(9111, 59054, F9, 25) (dual of [59054, 58943, 26]-code), using
- OOA 3-folding [i] based on linear OA(9111, 59052, F9, 25) (dual of [59052, 58941, 26]-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.