Information on Result #1831649
OOA(9120, 2391526, S9, 2, 17), using (u, u+v)-construction based on
- OOA(914, 38, S9, 2, 8), using
- extracting embedded OOA [i] based on (6, 14, 38)-net in base 9, using
- 1 times m-reduction [i] based on (6, 15, 38)-net in base 9, using
- base change [i] based on digital (1, 10, 38)-net over F27, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, using
- base change [i] based on digital (1, 10, 38)-net over F27, using
- 1 times m-reduction [i] based on (6, 15, 38)-net in base 9, using
- extracting embedded OOA [i] based on (6, 14, 38)-net in base 9, using
- linear OOA(9106, 2391488, F9, 2, 17) (dual of [(2391488, 2), 4782870, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9106, 4782976, F9, 17) (dual of [4782976, 4782870, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 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(16) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(9106, 4782976, F9, 17) (dual of [4782976, 4782870, 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.