Information on Result #711303
Linear OA(581, 624, F5, 26) (dual of [624, 543, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27
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(581, 508, F5, 2, 26) (dual of [(508, 2), 935, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(581, 508, F5, 3, 26) (dual of [(508, 3), 1443, 27]-NRT-code) | [i] | ||
| 3 | Digital (55, 81, 508)-net over F5 | [i] | ||
| 4 | Linear OA(592, 656, F5, 26) (dual of [656, 564, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5111, 670, F5, 31) (dual of [670, 559, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(5110, 667, F5, 31) (dual of [667, 557, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(5108, 663, F5, 31) (dual of [663, 555, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(5107, 660, F5, 31) (dual of [660, 553, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(5114, 668, F5, 32) (dual of [668, 554, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(5106, 655, F5, 31) (dual of [655, 549, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(587, 630, F5, 28) (dual of [630, 543, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(592, 635, F5, 29) (dual of [635, 543, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(598, 641, F5, 30) (dual of [641, 543, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(5106, 649, F5, 32) (dual of [649, 543, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(5105, 646, F5, 32) (dual of [646, 541, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(5112, 654, F5, 33) (dual of [654, 542, 34]-code) | [i] | ✔ | |
| 17 | Linear OA(597, 640, F5, 30) (dual of [640, 543, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(5111, 654, F5, 33) (dual of [654, 543, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(5110, 651, F5, 33) (dual of [651, 541, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(5117, 659, F5, 34) (dual of [659, 542, 35]-code) | [i] | ✔ | |
| 21 | Linear OA(5116, 655, F5, 34) (dual of [655, 539, 35]-code) | [i] | ✔ | |
| 22 | Linear OA(5115, 652, F5, 34) (dual of [652, 537, 35]-code) | [i] | ✔ | |
| 23 | Linear OA(5124, 666, F5, 35) (dual of [666, 542, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(5123, 662, F5, 35) (dual of [662, 539, 36]-code) | [i] | ✔ | |
| 25 | Linear OA(5123, 665, F5, 35) (dual of [665, 542, 36]-code) | [i] | ✔ | |
| 26 | Linear OA(5124, 667, F5, 36) (dual of [667, 543, 37]-code) | [i] | ✔ | |
| 27 | Linear OA(5121, 664, F5, 35) (dual of [664, 543, 36]-code) | [i] | ✔ | |
| 28 | Linear OA(5131, 674, F5, 37) (dual of [674, 543, 38]-code) | [i] | ✔ | |
| 29 | Linear OA(5130, 672, F5, 37) (dual of [672, 542, 38]-code) | [i] | ✔ | |
| 30 | Linear OA(5137, 679, F5, 38) (dual of [679, 542, 39]-code) | [i] | ✔ | |
| 31 | Linear OA(5136, 675, F5, 38) (dual of [675, 539, 39]-code) | [i] | ✔ | |
| 32 | Linear OA(5135, 672, F5, 38) (dual of [672, 537, 39]-code) | [i] | ✔ | |
| 33 | Linear OA(5143, 680, F5, 39) (dual of [680, 537, 40]-code) | [i] | ✔ | |
| 34 | Linear OA(5144, 686, F5, 39) (dual of [686, 542, 40]-code) | [i] | ✔ | |
| 35 | Linear OA(5143, 682, F5, 39) (dual of [682, 539, 40]-code) | [i] | ✔ | |
| 36 | Linear OA(5142, 679, F5, 39) (dual of [679, 537, 40]-code) | [i] | ✔ | |
| 37 | Linear OOA(581, 312, F5, 2, 26) (dual of [(312, 2), 543, 27]-NRT-code) | [i] | OOA Folding | |
| 38 | Linear OOA(581, 208, F5, 3, 26) (dual of [(208, 3), 543, 27]-NRT-code) | [i] | ||