Information on Result #1016286
Linear OOA(9137, 5592484, F9, 3, 16) (dual of [(5592484, 3), 16777315, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(915, 82, F9, 3, 8) (dual of [(82, 3), 231, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 15, 82)-net over F9, using
- base reduction for projective spaces (embedding PG(7,81) in PG(14,9)) for nets [i] based on digital (0, 8, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- base reduction for projective spaces (embedding PG(7,81) in PG(14,9)) for nets [i] based on digital (0, 8, 82)-net over F81, using
- extracting embedded OOA [i] based on digital (7, 15, 82)-net over F9, 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 and linear.
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.