Information on Result #1836701
OOA(9136, 5592440, S9, 3, 16), using (u, u+v)-construction based on
- OOA(914, 38, S9, 3, 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(9122, 5592402, F9, 3, 16) (dual of [(5592402, 3), 16777084, 17]-NRT-code), using
- trace code [i] based on linear OOA(8161, 2796201, F81, 3, 16) (dual of [(2796201, 3), 8388542, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8161, large, F81, 16) (dual of [large, large−61, 17]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- OOA 3-folding [i] based on linear OA(8161, large, F81, 16) (dual of [large, large−61, 17]-code), using
- trace code [i] based on linear OOA(8161, 2796201, F81, 3, 16) (dual of [(2796201, 3), 8388542, 17]-NRT-code), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.