Information on Result #711302
Linear OA(580, 624, F5, 25) (dual of [624, 544, 26]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(595, 643, F5, 25) (dual of [643, 548, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(580, 578, F5, 2, 25) (dual of [(578, 2), 1076, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(580, 578, F5, 3, 25) (dual of [(578, 3), 1654, 26]-NRT-code) | [i] | ||
| 4 | Digital (55, 80, 578)-net over F5 | [i] | ||
| 5 | Linear OA(583, 660, F5, 25) (dual of [660, 577, 26]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(584, 699, F5, 25) (dual of [699, 615, 26]-code) | [i] | ||
| 7 | Linear OA(585, 745, F5, 25) (dual of [745, 660, 26]-code) | [i] | ||
| 8 | Linear OA(592, 656, F5, 26) (dual of [656, 564, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 9 | Linear OA(5110, 666, F5, 31) (dual of [666, 556, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(5109, 664, F5, 31) (dual of [664, 555, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(5108, 661, F5, 31) (dual of [661, 553, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(5107, 656, F5, 31) (dual of [656, 549, 32]-code) | [i] | ✔ | |
| 13 | Linear OA(593, 637, F5, 29) (dual of [637, 544, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(5112, 655, F5, 33) (dual of [655, 543, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(5111, 652, F5, 33) (dual of [652, 541, 34]-code) | [i] | ✔ | |
| 16 | Linear OA(5119, 662, F5, 34) (dual of [662, 543, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(5117, 656, F5, 34) (dual of [656, 539, 35]-code) | [i] | ✔ | |
| 18 | Linear OA(5126, 670, F5, 35) (dual of [670, 544, 36]-code) | [i] | ✔ | |
| 19 | Linear OA(5125, 668, F5, 35) (dual of [668, 543, 36]-code) | [i] | ✔ | |
| 20 | Linear OA(5126, 670, F5, 36) (dual of [670, 544, 37]-code) | [i] | ✔ | |
| 21 | Linear OA(5133, 677, F5, 37) (dual of [677, 544, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(5132, 675, F5, 37) (dual of [675, 543, 38]-code) | [i] | ✔ | |
| 23 | Linear OA(5131, 672, F5, 37) (dual of [672, 541, 38]-code) | [i] | ✔ | |
| 24 | Linear OA(5130, 669, F5, 37) (dual of [669, 539, 38]-code) | [i] | ✔ | |
| 25 | Linear OA(5139, 680, F5, 38) (dual of [680, 541, 39]-code) | [i] | ✔ | |
| 26 | Linear OA(5140, 684, F5, 38) (dual of [684, 544, 39]-code) | [i] | ✔ | |
| 27 | Linear OA(5139, 682, F5, 38) (dual of [682, 543, 39]-code) | [i] | ✔ | |
| 28 | Linear OOA(580, 312, F5, 2, 25) (dual of [(312, 2), 544, 26]-NRT-code) | [i] | OOA Folding | |
| 29 | Linear OOA(580, 208, F5, 3, 25) (dual of [(208, 3), 544, 26]-NRT-code) | [i] | ||