Information on Result #1713424
Digital (94, 109, 14772)-net over F3, using net defined by OOA based on linear OOA(3109, 14772, F3, 20, 15) (dual of [(14772, 20), 295331, 16]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3109, 29545, F3, 4, 15) (dual of [(29545, 4), 118071, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3109, 29545, F3, 2, 15) (dual of [(29545, 2), 58981, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3109, 59090, F3, 15) (dual of [59090, 58981, 16]-code), using
- construction X applied to Ce(15) ⊂ Ce(9) [i] based on
- linear OA(3101, 59049, F3, 16) (dual of [59049, 58948, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(361, 59049, F3, 10) (dual of [59049, 58988, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]
- construction X applied to Ce(15) ⊂ Ce(9) [i] based on
- OOA 2-folding [i] based on linear OA(3109, 59090, F3, 15) (dual of [59090, 58981, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3109, 29545, F3, 2, 15) (dual of [(29545, 2), 58981, 16]-NRT-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.