Information on Result #676614
Linear OA(394, 742, F3, 23) (dual of [742, 648, 24]-code), using construction X applied to Ce(22) ⊂ Ce(19) based on
- linear OA(391, 729, F3, 23) (dual of [729, 638, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(379, 729, F3, 20) (dual of [729, 650, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
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(394, 545, F3, 2, 23) (dual of [(545, 2), 996, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(394, 545, F3, 3, 23) (dual of [(545, 3), 1541, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(394, 545, F3, 4, 23) (dual of [(545, 4), 2086, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(394, 545, F3, 5, 23) (dual of [(545, 5), 2631, 24]-NRT-code) | [i] | ||
| 5 | Digital (71, 94, 545)-net over F3 | [i] | ||