Information on Result #1768639
Digital (188, 209, 1594346)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3209, 1594346, F3, 3, 21) (dual of [(1594346, 3), 4782829, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3209, 4783038, F3, 21) (dual of [4783038, 4782829, 22]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3208, 4783037, F3, 21) (dual of [4783037, 4782829, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- linear OA(3197, 4782970, F3, 21) (dual of [4782970, 4782773, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(3141, 4782970, F3, 15) (dual of [4782970, 4782829, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(311, 67, F3, 5) (dual of [67, 56, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3208, 4783037, F3, 21) (dual of [4783037, 4782829, 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.