Information on Result #1211697
Digital (223, 258, 15438)-net over F4, using (u, u+v)-construction based on
- digital (5, 22, 17)-net over F4, using
- net from sequence [i] based on digital (5, 16)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, using
- net from sequence [i] based on digital (5, 16)-sequence over F4, using
- digital (201, 236, 15421)-net over F4, using
- net defined by OOA [i] based on linear OOA(4236, 15421, F4, 35, 35) (dual of [(15421, 35), 539499, 36]-NRT-code), using
- OOA 17-folding and stacking with additional row [i] based on linear OA(4236, 262158, F4, 35) (dual of [262158, 261922, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(4236, 262164, F4, 35) (dual of [262164, 261928, 36]-code), using
- construction X applied to C([0,17]) ⊂ C([0,16]) [i] based on
- linear OA(4235, 262145, F4, 35) (dual of [262145, 261910, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(4217, 262145, F4, 33) (dual of [262145, 261928, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(41, 19, F4, 1) (dual of [19, 18, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,17]) ⊂ C([0,16]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4236, 262164, F4, 35) (dual of [262164, 261928, 36]-code), using
- OOA 17-folding and stacking with additional row [i] based on linear OA(4236, 262158, F4, 35) (dual of [262158, 261922, 36]-code), using
- net defined by OOA [i] based on linear OOA(4236, 15421, F4, 35, 35) (dual of [(15421, 35), 539499, 36]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.