Information on Result #1061281
Linear OOA(3231, 1195751, F3, 4, 25) (dual of [(1195751, 4), 4782773, 26]-NRT-code), using OOA 4-folding based on linear OA(3231, 4783004, F3, 25) (dual of [4783004, 4782773, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(3225, 4782970, F3, 25) (dual of [4782970, 4782745, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- 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(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(3232, 1195751, F3, 4, 25) (dual of [(1195751, 4), 4782772, 26]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3230, 1195750, F3, 4, 24) (dual of [(1195750, 4), 4782770, 25]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3231, 1080426, F3, 5, 25) (dual of [(1080426, 5), 5401899, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (206, 231, 1080426)-net over F3 | [i] | ||