Information on Result #1713792
Digital (97, 114, 9909)-net over F3, using net defined by OOA based on linear OOA(3114, 9909, F3, 20, 17) (dual of [(9909, 20), 198066, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3114, 19819, F3, 4, 17) (dual of [(19819, 4), 79162, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3114, 19820, F3, 4, 17) (dual of [(19820, 4), 79166, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3114, 19820, F3, 2, 17) (dual of [(19820, 2), 39526, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3114, 29531, F3, 2, 17) (dual of [(29531, 2), 58948, 18]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3112, 29530, F3, 2, 17) (dual of [(29530, 2), 58948, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3112, 59060, F3, 17) (dual of [59060, 58948, 18]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3111, 59059, F3, 17) (dual of [59059, 58948, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [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(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(30, 10, F3, 0) (dual of [10, 10, 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(16) ⊂ Ce(15) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3111, 59059, F3, 17) (dual of [59059, 58948, 18]-code), using
- OOA 2-folding [i] based on linear OA(3112, 59060, F3, 17) (dual of [59060, 58948, 18]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3112, 29530, F3, 2, 17) (dual of [(29530, 2), 58948, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3114, 29531, F3, 2, 17) (dual of [(29531, 2), 58948, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3114, 19820, F3, 2, 17) (dual of [(19820, 2), 39526, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3114, 19820, F3, 4, 17) (dual of [(19820, 4), 79166, 18]-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.