Information on Result #1707810
Digital (39, 45, 177159)-net over F3, using net defined by OOA based on linear OOA(345, 177159, F3, 6, 6) (dual of [(177159, 6), 1062909, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(345, 177159, F3, 5, 6) (dual of [(177159, 5), 885750, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(345, 177159, F3, 6) (dual of [177159, 177114, 7]-code), using
- 1 times truncation [i] based on linear OA(346, 177160, F3, 7) (dual of [177160, 177114, 8]-code), using
- construction X4 applied to Ce(6) ⊂ Ce(4) [i] based on
- linear OA(345, 177147, F3, 7) (dual of [177147, 177102, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(334, 177147, F3, 5) (dual of [177147, 177113, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(312, 13, F3, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,3)), using
- dual of repetition code with length 13 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(6) ⊂ Ce(4) [i] based on
- 1 times truncation [i] based on linear OA(346, 177160, F3, 7) (dual of [177160, 177114, 8]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(345, 177159, F3, 6) (dual of [177159, 177114, 7]-code), using
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.