Information on Result #1761124
Digital (55, 75, 314)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(375, 314, F3, 20) (dual of [314, 239, 21]-code), using
- 57 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 1, 0, 0, 1, 4 times 0, 1, 7 times 0, 1, 9 times 0, 1, 12 times 0, 1, 14 times 0) [i] based on linear OA(366, 248, F3, 20) (dual of [248, 182, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(366, 243, F3, 20) (dual of [243, 177, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(361, 243, F3, 19) (dual of [243, 182, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(30, 5, F3, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(18) [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.