Information on Result #1762841
Digital (104, 121, 29545)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3121, 29545, F3, 2, 17) (dual of [(29545, 2), 58969, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3121, 59090, F3, 17) (dual of [59090, 58969, 18]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3117, 59085, F3, 17) (dual of [59085, 58968, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(3111, 59049, F3, 17) (dual of [59049, 58938, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(381, 59049, F3, 13) (dual of [59049, 58968, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(36, 36, F3, 3) (dual of [36, 30, 4]-code or 36-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(3117, 59086, F3, 13) (dual of [59086, 58969, 14]-code), using Gilbert–Varšamov bound and bm = 3117 > Vbs−1(k−1) = 15463 536394 645569 274766 004970 508164 587244 036928 811219 [i]
- linear OA(33, 4, F3, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,3) or 4-cap in PG(2,3)), using
- dual of repetition code with length 4 [i]
- oval in PG(2, 3) [i]
- linear OA(3117, 59085, F3, 17) (dual of [59085, 58968, 18]-code), using
- construction X with Varšamov bound [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.