Information on Result #1766724
Digital (164, 185, 460155)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3185, 460155, F3, 3, 21) (dual of [(460155, 3), 1380280, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3185, 531451, F3, 3, 21) (dual of [(531451, 3), 1594168, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3185, 1594353, F3, 21) (dual of [1594353, 1594168, 22]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3184, 1594352, F3, 21) (dual of [1594352, 1594168, 22]-code), using
- construction X4 applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(3183, 1594324, F3, 21) (dual of [1594324, 1594141, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(3157, 1594324, F3, 19) (dual of [1594324, 1594167, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(327, 28, F3, 27) (dual of [28, 1, 28]-code or 28-arc in PG(26,3)), using
- dual of repetition code with length 28 [i]
- linear OA(31, 28, F3, 1) (dual of [28, 27, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to C([0,10]) ⊂ C([0,9]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3184, 1594352, F3, 21) (dual of [1594352, 1594168, 22]-code), using
- OOA 3-folding [i] based on linear OA(3185, 1594353, F3, 21) (dual of [1594353, 1594168, 22]-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.