Information on Result #1226465
Digital (26, 37, 23581)-net over F49, using (u, u+v)-construction based on
- digital (1, 6, 51)-net over F49, using
- net from sequence [i] based on digital (1, 50)-sequence over F49, using
- digital (20, 31, 23530)-net over F49, using
- net defined by OOA [i] based on linear OOA(4931, 23530, F49, 11, 11) (dual of [(23530, 11), 258799, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(4931, 117651, F49, 11) (dual of [117651, 117620, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(4931, 117652, F49, 11) (dual of [117652, 117621, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(4931, 117649, F49, 11) (dual of [117649, 117618, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(4928, 117649, F49, 10) (dual of [117649, 117621, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(490, 3, F49, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(4931, 117652, F49, 11) (dual of [117652, 117621, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(4931, 117651, F49, 11) (dual of [117651, 117620, 12]-code), using
- net defined by OOA [i] based on linear OOA(4931, 23530, F49, 11, 11) (dual of [(23530, 11), 258799, 12]-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.