Information on Result #704446
Linear OA(397, 728, F3, 25) (dual of [728, 631, 26]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {340,341,…,364}, and designed minimum distance d ≥ |I|+1 = 26
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(397, 443, F3, 2, 25) (dual of [(443, 2), 789, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(397, 443, F3, 3, 25) (dual of [(443, 3), 1232, 26]-NRT-code) | [i] | ||
3 | Linear OOA(397, 443, F3, 4, 25) (dual of [(443, 4), 1675, 26]-NRT-code) | [i] | ||
4 | Linear OOA(397, 443, F3, 5, 25) (dual of [(443, 5), 2118, 26]-NRT-code) | [i] | ||
5 | Digital (72, 97, 443)-net over F3 | [i] | ||
6 | Linear OA(3110, 759, F3, 26) (dual of [759, 649, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
7 | Linear OA(3104, 741, F3, 26) (dual of [741, 637, 27]-code) | [i] | ✔ | |
8 | Linear OA(3123, 754, F3, 30) (dual of [754, 631, 31]-code) | [i] | ✔ | |
9 | Linear OA(3132, 762, F3, 32) (dual of [762, 630, 33]-code) | [i] | ✔ | |
10 | Linear OA(3144, 771, F3, 33) (dual of [771, 627, 34]-code) | [i] | ✔ | |
11 | Linear OA(3141, 772, F3, 33) (dual of [772, 631, 34]-code) | [i] | ✔ | |
12 | Linear OA(3142, 772, F3, 34) (dual of [772, 630, 35]-code) | [i] | ✔ | |
13 | Linear OA(3139, 769, F3, 33) (dual of [769, 630, 34]-code) | [i] | ✔ | |
14 | Linear OA(3154, 781, F3, 35) (dual of [781, 627, 36]-code) | [i] | ✔ | |
15 | Linear OA(3150, 780, F3, 35) (dual of [780, 630, 36]-code) | [i] | ✔ | |
16 | Linear OA(3162, 789, F3, 36) (dual of [789, 627, 37]-code) | [i] | ✔ | |
17 | Linear OA(3172, 799, F3, 38) (dual of [799, 627, 39]-code) | [i] | ✔ | |
18 | Linear OOA(397, 182, F3, 4, 25) (dual of [(182, 4), 631, 26]-NRT-code) | [i] | OOA Folding |