Information on Result #953489
Linear OOA(3167, 19692, F3, 3, 25) (dual of [(19692, 3), 58909, 26]-NRT-code), using OOA 3-folding based on linear OA(3167, 59076, F3, 25) (dual of [59076, 58909, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(3161, 59050, F3, 25) (dual of [59050, 58889, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3141, 59050, F3, 21) (dual of [59050, 58909, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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
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(3168, 19692, F3, 3, 25) (dual of [(19692, 3), 58908, 26]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3167, 19692, F3, 4, 25) (dual of [(19692, 4), 78601, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3167, 19692, F3, 5, 25) (dual of [(19692, 5), 98293, 26]-NRT-code) | [i] | ||
| 4 | Digital (142, 167, 19692)-net over F3 | [i] | ||