Information on Result #1772218
Digital (212, 248, 23684)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3248, 23684, F3, 2, 36) (dual of [(23684, 2), 47120, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3248, 29543, F3, 2, 36) (dual of [(29543, 2), 58838, 37]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3248, 59086, F3, 36) (dual of [59086, 58838, 37]-code), using
- 1 times truncation [i] based on linear OA(3249, 59087, F3, 37) (dual of [59087, 58838, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(31) [i] based on
- linear OA(3241, 59049, F3, 37) (dual of [59049, 58808, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3211, 59049, F3, 32) (dual of [59049, 58838, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(38, 38, F3, 4) (dual of [38, 30, 5]-code), using
- discarding factors / shortening the dual code based on 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]
- discarding factors / shortening the dual code based on linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- construction X applied to Ce(36) ⊂ Ce(31) [i] based on
- 1 times truncation [i] based on linear OA(3249, 59087, F3, 37) (dual of [59087, 58838, 38]-code), using
- OOA 2-folding [i] based on linear OA(3248, 59086, F3, 36) (dual of [59086, 58838, 37]-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.