Information on Result #711789
Linear OA(591, 624, F5, 29) (dual of [624, 533, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(591, 566, F5, 2, 29) (dual of [(566, 2), 1041, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(591, 566, F5, 3, 29) (dual of [(566, 3), 1607, 30]-NRT-code) | [i] | ||
| 3 | Digital (62, 91, 566)-net over F5 | [i] | ||
| 4 | Linear OA(595, 632, F5, 30) (dual of [632, 537, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5126, 672, F5, 35) (dual of [672, 546, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(5123, 665, F5, 35) (dual of [665, 542, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(5115, 656, F5, 34) (dual of [656, 541, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(5114, 653, F5, 34) (dual of [653, 539, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(5122, 663, F5, 35) (dual of [663, 541, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(5121, 661, F5, 35) (dual of [661, 540, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(5120, 657, F5, 35) (dual of [657, 537, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(5119, 654, F5, 35) (dual of [654, 535, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(5113, 648, F5, 34) (dual of [648, 535, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(5122, 656, F5, 36) (dual of [656, 534, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(5105, 638, F5, 33) (dual of [638, 533, 34]-code) | [i] | ✔ | |
| 16 | Linear OA(5119, 652, F5, 36) (dual of [652, 533, 37]-code) | [i] | ✔ | |
| 17 | Linear OA(5116, 649, F5, 35) (dual of [649, 533, 36]-code) | [i] | ✔ | |
| 18 | Linear OA(5118, 649, F5, 36) (dual of [649, 531, 37]-code) | [i] | ✔ | |
| 19 | Linear OA(5125, 657, F5, 37) (dual of [657, 532, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(5132, 664, F5, 38) (dual of [664, 532, 39]-code) | [i] | ✔ | |
| 21 | Linear OA(5124, 655, F5, 37) (dual of [655, 531, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(5130, 663, F5, 38) (dual of [663, 533, 39]-code) | [i] | ✔ | |
| 23 | Linear OA(5129, 660, F5, 38) (dual of [660, 531, 39]-code) | [i] | ✔ | |
| 24 | Linear OA(5136, 668, F5, 39) (dual of [668, 532, 40]-code) | [i] | ✔ | |
| 25 | Linear OA(5143, 675, F5, 40) (dual of [675, 532, 41]-code) | [i] | ✔ | |
| 26 | Linear OA(5142, 671, F5, 40) (dual of [671, 529, 41]-code) | [i] | ✔ | |
| 27 | Linear OA(5141, 668, F5, 40) (dual of [668, 527, 41]-code) | [i] | ✔ | |
| 28 | Linear OA(5144, 677, F5, 40) (dual of [677, 533, 41]-code) | [i] | ✔ | |