Information on Result #676611
Linear OA(398, 742, F3, 24) (dual of [742, 644, 25]-code), using construction X applied to Ce(24) ⊂ Ce(21) based on
- linear OA(397, 729, F3, 25) (dual of [729, 632, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(385, 729, F3, 22) (dual of [729, 644, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 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(398, 556, F3, 2, 24) (dual of [(556, 2), 1014, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(398, 556, F3, 3, 24) (dual of [(556, 3), 1570, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(398, 556, F3, 4, 24) (dual of [(556, 4), 2126, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(398, 556, F3, 5, 24) (dual of [(556, 5), 2682, 25]-NRT-code) | [i] | ||
| 5 | Digital (74, 98, 556)-net over F3 | [i] | ||
| 6 | Linear OOA(398, 371, F3, 2, 24) (dual of [(371, 2), 644, 25]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(398, 247, F3, 3, 24) (dual of [(247, 3), 643, 25]-NRT-code) | [i] | ||