Information on Result #1763554
Digital (102, 135, 690)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3135, 690, F3, 33) (dual of [690, 555, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(3135, 749, F3, 33) (dual of [749, 614, 34]-code), using
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- linear OA(3130, 729, F3, 34) (dual of [729, 599, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3112, 729, F3, 29) (dual of [729, 617, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), using
- construction X applied to Ce(33) ⊂ Ce(28) [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.