Information on Result #704359
Linear OA(385, 728, F3, 22) (dual of [728, 643, 23]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {343,344,…,364}, and designed minimum distance d ≥ |I|+1 = 23
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(385, 402, F3, 2, 22) (dual of [(402, 2), 719, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(385, 402, F3, 3, 22) (dual of [(402, 3), 1121, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(385, 402, F3, 4, 22) (dual of [(402, 4), 1523, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(385, 402, F3, 5, 22) (dual of [(402, 5), 1925, 23]-NRT-code) | [i] | ||
| 5 | Digital (63, 85, 402)-net over F3 | [i] | ||
| 6 | Linear OA(398, 759, F3, 23) (dual of [759, 661, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(392, 741, F3, 23) (dual of [741, 649, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(3132, 771, F3, 30) (dual of [771, 639, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(3142, 781, F3, 32) (dual of [781, 639, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(3150, 789, F3, 33) (dual of [789, 639, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(3160, 799, F3, 35) (dual of [799, 639, 36]-code) | [i] | ✔ | |
| 12 | Linear OOA(385, 364, F3, 2, 22) (dual of [(364, 2), 643, 23]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(385, 182, F3, 4, 22) (dual of [(182, 4), 643, 23]-NRT-code) | [i] | ||
| 14 | Linear OOA(385, 145, F3, 5, 22) (dual of [(145, 5), 640, 23]-NRT-code) | [i] | ||