Information on Result #1060582
Linear OOA(3175, 1195751, F3, 4, 19) (dual of [(1195751, 4), 4782829, 20]-NRT-code), using OOA 4-folding based on linear OA(3175, 4783004, F3, 19) (dual of [4783004, 4782829, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,7]) [i] based on
- linear OA(3169, 4782970, F3, 19) (dual of [4782970, 4782801, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(36, 34, F3, 3) (dual of [34, 28, 4]-code or 34-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
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3176, 1195751, F3, 4, 19) (dual of [(1195751, 4), 4782828, 20]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3174, 1195750, F3, 4, 18) (dual of [(1195750, 4), 4782826, 19]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3175, 1195751, F3, 5, 19) (dual of [(1195751, 5), 5978580, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (156, 175, 1195751)-net over F3 | [i] | ||