Information on Result #677076
Linear OA(383, 372, F3, 22) (dual of [372, 289, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- linear OA(382, 365, F3, 22) (dual of [365, 283, 23]-code), using an extension Ce(21) of the narrow-sense BCH-code C(I) with length 364 | 36−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(376, 365, F3, 20) (dual of [365, 289, 21]-code), using an extension Ce(19) of the narrow-sense BCH-code C(I) with length 364 | 36−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(31, 7, F3, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(383, 359, F3, 2, 22) (dual of [(359, 2), 635, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(383, 359, F3, 3, 22) (dual of [(359, 3), 994, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(383, 359, F3, 4, 22) (dual of [(359, 4), 1353, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(383, 359, F3, 5, 22) (dual of [(359, 5), 1712, 23]-NRT-code) | [i] | ||
| 5 | Digital (61, 83, 359)-net over F3 | [i] | ||
| 6 | Linear OOA(383, 186, F3, 2, 22) (dual of [(186, 2), 289, 23]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(383, 124, F3, 3, 22) (dual of [(124, 3), 289, 23]-NRT-code) | [i] | ||