Information on Result #898359
Linear OOA(1656, 2306, F16, 2, 15) (dual of [(2306, 2), 4556, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1613, 257, F16, 2, 7) (dual of [(257, 2), 501, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 13, 257)-net over F16, using
- base reduction for projective spaces (embedding PG(6,256) in PG(12,16)) for nets [i] based on digital (0, 7, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- base reduction for projective spaces (embedding PG(6,256) in PG(12,16)) for nets [i] based on digital (0, 7, 257)-net over F256, using
- extracting embedded OOA [i] based on digital (6, 13, 257)-net over F16, using
- linear OOA(1643, 2049, F16, 2, 15) (dual of [(2049, 2), 4055, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1643, 4098, F16, 15) (dual of [4098, 4055, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(1643, 4099, F16, 15) (dual of [4099, 4056, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(1643, 4096, F16, 15) (dual of [4096, 4053, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(1640, 4096, F16, 14) (dual of [4096, 4056, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(160, 3, F16, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(1643, 4099, F16, 15) (dual of [4099, 4056, 16]-code), using
- OOA 2-folding [i] based on linear OA(1643, 4098, F16, 15) (dual of [4098, 4055, 16]-code), using
Mode: Constructive and linear.
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.