Information on Result #1765323
Digital (146, 165, 456702)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3165, 456702, F3, 3, 19) (dual of [(456702, 3), 1369941, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3165, 531454, F3, 3, 19) (dual of [(531454, 3), 1594197, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3165, 1594362, F3, 19) (dual of [1594362, 1594197, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3165, 1594364, F3, 19) (dual of [1594364, 1594199, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(13) [i] based on
- linear OA(3157, 1594323, F3, 19) (dual of [1594323, 1594166, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3118, 1594323, F3, 14) (dual of [1594323, 1594205, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(18) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(3165, 1594364, F3, 19) (dual of [1594364, 1594199, 20]-code), using
- OOA 3-folding [i] based on linear OA(3165, 1594362, F3, 19) (dual of [1594362, 1594197, 20]-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.