Information on Result #1184658
Digital (109, 128, 6564)-net over F3, using net defined by OOA based on linear OOA(3128, 6564, F3, 19, 19) (dual of [(6564, 19), 124588, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(3128, 59077, F3, 19) (dual of [59077, 58949, 20]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3127, 59076, F3, 19) (dual of [59076, 58949, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,7]) [i] based on
- linear OA(3121, 59050, F3, 19) (dual of [59050, 58929, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(3101, 59050, F3, 15) (dual of [59050, 58949, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(36, 26, F3, 3) (dual of [26, 20, 4]-code or 26-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to C([0,9]) ⊂ C([0,7]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3127, 59076, F3, 19) (dual of [59076, 58949, 20]-code), using
Mode: Constructive and 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.