Information on Result #1787240
Digital (72, 104, 704)-net over F5, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5104, 704, F5, 32) (dual of [704, 600, 33]-code), using
- 70 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 11 times 0, 1, 22 times 0, 1, 30 times 0) [i] based on linear OA(599, 629, F5, 32) (dual of [629, 530, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- linear OA(599, 625, F5, 32) (dual of [625, 526, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(595, 625, F5, 31) (dual of [625, 530, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(50, 4, F5, 0) (dual of [4, 4, 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(31) ⊂ Ce(30) [i] based on
Mode: 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.