Information on Result #1215653
Digital (116, 136, 209744)-net over F8, using (u, u+v)-construction based on
- digital (5, 15, 28)-net over F8, using
- net from sequence [i] based on digital (5, 27)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
- net from sequence [i] based on digital (5, 27)-sequence over F8, using
- digital (101, 121, 209716)-net over F8, using
- net defined by OOA [i] based on linear OOA(8121, 209716, F8, 20, 20) (dual of [(209716, 20), 4194199, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(8121, 2097160, F8, 20) (dual of [2097160, 2097039, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(8121, 2097167, F8, 20) (dual of [2097167, 2097046, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- linear OA(8120, 2097152, F8, 20) (dual of [2097152, 2097032, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(8106, 2097152, F8, 18) (dual of [2097152, 2097046, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(81, 15, F8, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(8121, 2097167, F8, 20) (dual of [2097167, 2097046, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(8121, 2097160, F8, 20) (dual of [2097160, 2097039, 21]-code), using
- net defined by OOA [i] based on linear OOA(8121, 209716, F8, 20, 20) (dual of [(209716, 20), 4194199, 21]-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.