Information on Result #716043
Linear OA(888, 511, F8, 34) (dual of [511, 423, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35
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]
- 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(888, 504, F8, 2, 34) (dual of [(504, 2), 920, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(888, 504, F8, 3, 34) (dual of [(504, 3), 1424, 35]-NRT-code) | [i] | ||
| 3 | Digital (54, 88, 504)-net over F8 | [i] | ||
| 4 | Linear OA(8135, 579, F8, 42) (dual of [579, 444, 43]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(8120, 558, F8, 40) (dual of [558, 438, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(891, 517, F8, 35) (dual of [517, 426, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(8119, 554, F8, 40) (dual of [554, 435, 41]-code) | [i] | ✔ | |
| 8 | Linear OA(8106, 535, F8, 38) (dual of [535, 429, 39]-code) | [i] | ✔ | |
| 9 | Linear OA(895, 521, F8, 36) (dual of [521, 426, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(8129, 567, F8, 42) (dual of [567, 438, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(8128, 562, F8, 42) (dual of [562, 434, 43]-code) | [i] | ✔ | |
| 12 | Linear OA(8126, 557, F8, 42) (dual of [557, 431, 43]-code) | [i] | ✔ | |
| 13 | Linear OA(8117, 549, F8, 40) (dual of [549, 432, 41]-code) | [i] | ✔ | |
| 14 | Linear OA(8100, 526, F8, 37) (dual of [526, 426, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(899, 523, F8, 37) (dual of [523, 424, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(8133, 568, F8, 43) (dual of [568, 435, 44]-code) | [i] | ✔ | |
| 17 | Linear OA(8128, 563, F8, 42) (dual of [563, 435, 43]-code) | [i] | ✔ | |
| 18 | Linear OA(8115, 544, F8, 40) (dual of [544, 429, 41]-code) | [i] | ✔ | |
| 19 | Linear OA(8104, 530, F8, 38) (dual of [530, 426, 39]-code) | [i] | ✔ | |
| 20 | Linear OA(8126, 558, F8, 42) (dual of [558, 432, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(8109, 535, F8, 39) (dual of [535, 426, 40]-code) | [i] | ✔ | |
| 22 | Linear OA(8124, 553, F8, 42) (dual of [553, 429, 43]-code) | [i] | ✔ | |
| 23 | Linear OA(8113, 539, F8, 40) (dual of [539, 426, 41]-code) | [i] | ✔ | |
| 24 | Linear OA(8122, 548, F8, 42) (dual of [548, 426, 43]-code) | [i] | ✔ | |
| 25 | Linear OA(894, 517, F8, 36) (dual of [517, 423, 37]-code) | [i] | ✔ | |
| 26 | Linear OA(898, 521, F8, 37) (dual of [521, 423, 38]-code) | [i] | ✔ | |
| 27 | Linear OA(8102, 523, F8, 38) (dual of [523, 421, 39]-code) | [i] | ✔ | |
| 28 | Linear OA(8107, 530, F8, 39) (dual of [530, 423, 40]-code) | [i] | ✔ | |
| 29 | Linear OA(8112, 535, F8, 40) (dual of [535, 423, 41]-code) | [i] | ✔ | |
| 30 | Linear OA(8125, 548, F8, 43) (dual of [548, 423, 44]-code) | [i] | ✔ | |
| 31 | Linear OA(8102, 525, F8, 38) (dual of [525, 423, 39]-code) | [i] | ✔ | |
| 32 | Linear OA(8106, 527, F8, 39) (dual of [527, 421, 40]-code) | [i] | ✔ | |
| 33 | Linear OA(8111, 534, F8, 40) (dual of [534, 423, 41]-code) | [i] | ✔ | |
| 34 | Linear OA(8129, 552, F8, 44) (dual of [552, 423, 45]-code) | [i] | ✔ | |
| 35 | Linear OA(8127, 545, F8, 44) (dual of [545, 418, 45]-code) | [i] | ✔ | |
| 36 | Linear OA(8126, 542, F8, 44) (dual of [542, 416, 45]-code) | [i] | ✔ | |
| 37 | Linear OA(8131, 547, F8, 45) (dual of [547, 416, 46]-code) | [i] | ✔ | |
| 38 | Linear OA(8138, 561, F8, 46) (dual of [561, 423, 47]-code) | [i] | ✔ | |
| 39 | Linear OA(8135, 551, F8, 46) (dual of [551, 416, 47]-code) | [i] | ✔ | |
| 40 | Linear OA(8143, 566, F8, 47) (dual of [566, 423, 48]-code) | [i] | ✔ | |