Information on Result #704566
Linear OA(3127, 728, F3, 32) (dual of [728, 601, 33]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−6,−5,…,25}, and designed minimum distance d ≥ |I|+1 = 33
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 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(3127, 582, F3, 2, 32) (dual of [(582, 2), 1037, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(3127, 582, F3, 3, 32) (dual of [(582, 3), 1619, 33]-NRT-code) | [i] | ||
3 | Linear OOA(3127, 582, F3, 4, 32) (dual of [(582, 4), 2201, 33]-NRT-code) | [i] | ||
4 | Linear OOA(3127, 582, F3, 5, 32) (dual of [(582, 5), 2783, 33]-NRT-code) | [i] | ||
5 | Digital (95, 127, 582)-net over F3 | [i] | ||
6 | Linear OA(3145, 790, F3, 32) (dual of [790, 645, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
7 | Linear OA(3143, 786, F3, 32) (dual of [786, 643, 33]-code) | [i] | ✔ | |
8 | Linear OA(3141, 780, F3, 32) (dual of [780, 639, 33]-code) | [i] | ✔ | |
9 | Linear OA(3137, 768, F3, 32) (dual of [768, 631, 33]-code) | [i] | ✔ | |
10 | Linear OA(3144, 769, F3, 34) (dual of [769, 625, 35]-code) | [i] | ✔ | |
11 | Linear OA(3153, 777, F3, 35) (dual of [777, 624, 36]-code) | [i] | ✔ | |
12 | Linear OA(3147, 768, F3, 35) (dual of [768, 621, 36]-code) | [i] | ✔ | |
13 | Linear OA(3159, 784, F3, 36) (dual of [784, 625, 37]-code) | [i] | ✔ | |
14 | Linear OA(3163, 787, F3, 37) (dual of [787, 624, 38]-code) | [i] | ✔ | |
15 | Linear OA(3157, 778, F3, 36) (dual of [778, 621, 37]-code) | [i] | ✔ | |
16 | Linear OA(3159, 784, F3, 37) (dual of [784, 625, 38]-code) | [i] | ✔ | |
17 | Linear OA(3157, 778, F3, 37) (dual of [778, 621, 38]-code) | [i] | ✔ | |
18 | Linear OA(3168, 793, F3, 38) (dual of [793, 625, 39]-code) | [i] | ✔ | |
19 | Linear OA(3166, 787, F3, 38) (dual of [787, 621, 39]-code) | [i] | ✔ |