Information on Result #1213213
Digital (34, 42, 3919)-net over F5, using (u, u+v)-construction based on
- digital (1, 5, 12)-net over F5, using
- digital (29, 37, 3907)-net over F5, using
- net defined by OOA [i] based on linear OOA(537, 3907, F5, 8, 8) (dual of [(3907, 8), 31219, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(537, 15628, F5, 8) (dual of [15628, 15591, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(537, 15631, F5, 8) (dual of [15631, 15594, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(537, 15625, F5, 8) (dual of [15625, 15588, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(531, 15625, F5, 7) (dual of [15625, 15594, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(50, 6, F5, 0) (dual of [6, 6, 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(7) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(537, 15631, F5, 8) (dual of [15631, 15594, 9]-code), using
- OA 4-folding and stacking [i] based on linear OA(537, 15628, F5, 8) (dual of [15628, 15591, 9]-code), using
- net defined by OOA [i] based on linear OOA(537, 3907, F5, 8, 8) (dual of [(3907, 8), 31219, 9]-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.