Information on Result #704514
Linear OA(3121, 728, F3, 31) (dual of [728, 607, 32]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−6,−5,…,24}, and designed minimum distance d ≥ |I|+1 = 32
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3121, 525, F3, 2, 31) (dual of [(525, 2), 929, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3121, 525, F3, 3, 31) (dual of [(525, 3), 1454, 32]-NRT-code) | [i] | ||
| 3 | Linear OOA(3121, 525, F3, 4, 31) (dual of [(525, 4), 1979, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(3121, 525, F3, 5, 31) (dual of [(525, 5), 2504, 32]-NRT-code) | [i] | ||
| 5 | Digital (90, 121, 525)-net over F3 | [i] | ||
| 6 | Linear OA(3138, 787, F3, 30) (dual of [787, 649, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3136, 781, F3, 30) (dual of [781, 645, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(3139, 790, F3, 31) (dual of [790, 651, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(3137, 788, F3, 30) (dual of [788, 651, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(3138, 787, F3, 31) (dual of [787, 649, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(3136, 785, F3, 30) (dual of [785, 649, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(3136, 781, F3, 31) (dual of [781, 645, 32]-code) | [i] | ✔ | |
| 13 | Linear OA(3135, 778, F3, 31) (dual of [778, 643, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(3132, 775, F3, 30) (dual of [775, 643, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(3133, 772, F3, 31) (dual of [772, 639, 32]-code) | [i] | ✔ | |
| 16 | Linear OA(3130, 769, F3, 30) (dual of [769, 639, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(3132, 769, F3, 31) (dual of [769, 637, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(3137, 768, F3, 32) (dual of [768, 631, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(3147, 778, F3, 34) (dual of [778, 631, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(3145, 772, F3, 34) (dual of [772, 627, 35]-code) | [i] | ✔ | |
| 21 | Linear OA(3155, 785, F3, 35) (dual of [785, 630, 36]-code) | [i] | ✔ | |
| 22 | Linear OA(3154, 780, F3, 35) (dual of [780, 626, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(3151, 782, F3, 35) (dual of [782, 631, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(3149, 776, F3, 35) (dual of [776, 627, 36]-code) | [i] | ✔ | |
| 25 | Linear OA(3162, 793, F3, 36) (dual of [793, 631, 37]-code) | [i] | ✔ | |
| 26 | Linear OA(3166, 796, F3, 37) (dual of [796, 630, 38]-code) | [i] | ✔ | |
| 27 | Linear OA(3160, 787, F3, 36) (dual of [787, 627, 37]-code) | [i] | ✔ | |
| 28 | Linear OA(3162, 793, F3, 37) (dual of [793, 631, 38]-code) | [i] | ✔ | |
| 29 | Linear OA(3160, 791, F3, 36) (dual of [791, 631, 37]-code) | [i] | ✔ | |
| 30 | Linear OA(3160, 787, F3, 37) (dual of [787, 627, 38]-code) | [i] | ✔ | |
| 31 | Linear OA(3158, 785, F3, 36) (dual of [785, 627, 37]-code) | [i] | ✔ | |