Information on Result #710831
Linear OA(525, 624, F5, 8) (dual of [624, 599, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9
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
- 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(525, 464, F5, 2, 8) (dual of [(464, 2), 903, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(525, 464, F5, 3, 8) (dual of [(464, 3), 1367, 9]-NRT-code) | [i] | ||
3 | Digital (17, 25, 464)-net over F5 | [i] | ||
4 | Linear OA(528, 639, F5, 8) (dual of [639, 611, 9]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(535, 642, F5, 10) (dual of [642, 607, 11]-code) | [i] | ✔ | |
6 | Linear OA(529, 632, F5, 9) (dual of [632, 603, 10]-code) | [i] | ✔ | |
7 | Linear OA(534, 637, F5, 10) (dual of [637, 603, 11]-code) | [i] | ✔ | |
8 | Linear OA(549, 656, F5, 13) (dual of [656, 607, 14]-code) | [i] | ✔ | |
9 | Linear OA(548, 653, F5, 13) (dual of [653, 605, 14]-code) | [i] | ✔ | |
10 | Linear OA(553, 654, F5, 14) (dual of [654, 601, 15]-code) | [i] | ✔ | |
11 | Linear OA(547, 648, F5, 13) (dual of [648, 601, 14]-code) | [i] | ✔ | |
12 | Linear OA(552, 649, F5, 14) (dual of [649, 597, 15]-code) | [i] | ✔ | |
13 | Linear OA(533, 632, F5, 10) (dual of [632, 599, 11]-code) | [i] | ✔ | |
14 | Linear OA(551, 648, F5, 14) (dual of [648, 597, 15]-code) | [i] | ✔ | |
15 | Linear OA(556, 655, F5, 15) (dual of [655, 599, 16]-code) | [i] | ✔ | |
16 | Linear OA(558, 655, F5, 16) (dual of [655, 597, 17]-code) | [i] | ✔ | |
17 | Linear OA(564, 663, F5, 17) (dual of [663, 599, 18]-code) | [i] | ✔ | |
18 | Linear OA(563, 660, F5, 17) (dual of [660, 597, 18]-code) | [i] | ✔ |