Information on Result #1213913
Digital (127, 149, 35522)-net over F5, using (u, u+v)-construction based on
- digital (1, 12, 10)-net over F5, using
- net from sequence [i] based on digital (1, 9)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 1 and N(F) ≥ 10, using
- net from sequence [i] based on digital (1, 9)-sequence over F5, using
- digital (115, 137, 35512)-net over F5, using
- net defined by OOA [i] based on linear OOA(5137, 35512, F5, 22, 22) (dual of [(35512, 22), 781127, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(5137, 390632, F5, 22) (dual of [390632, 390495, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(5137, 390633, F5, 22) (dual of [390633, 390496, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(5137, 390625, F5, 22) (dual of [390625, 390488, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(5129, 390625, F5, 21) (dual of [390625, 390496, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(50, 8, F5, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(5137, 390633, F5, 22) (dual of [390633, 390496, 23]-code), using
- OA 11-folding and stacking [i] based on linear OA(5137, 390632, F5, 22) (dual of [390632, 390495, 23]-code), using
- net defined by OOA [i] based on linear OOA(5137, 35512, F5, 22, 22) (dual of [(35512, 22), 781127, 23]-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.