Information on Result #687968
Linear OA(897, 512, F8, 37) (dual of [512, 415, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8100, 515, F8, 38) (dual of [515, 415, 39]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(897, 515, F8, 37) (dual of [515, 418, 38]-code) | [i] | ✔ | |
| 3 | Linear OA(8109, 522, F8, 41) (dual of [522, 413, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(8110, 525, F8, 41) (dual of [525, 415, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(8100, 524, F8, 37) (dual of [524, 424, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(8115, 530, F8, 42) (dual of [530, 415, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(8119, 534, F8, 43) (dual of [534, 415, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(8104, 534, F8, 37) (dual of [534, 430, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(8125, 538, F8, 44) (dual of [538, 413, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(8126, 541, F8, 44) (dual of [541, 415, 45]-code) | [i] | ✔ | |
| 11 | Linear OA(8108, 541, F8, 37) (dual of [541, 433, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(8131, 546, F8, 45) (dual of [546, 415, 46]-code) | [i] | ✔ | |
| 13 | Linear OA(8110, 546, F8, 37) (dual of [546, 436, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(8135, 550, F8, 46) (dual of [550, 415, 47]-code) | [i] | ✔ | |
| 15 | Linear OA(8111, 550, F8, 37) (dual of [550, 439, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(8139, 554, F8, 47) (dual of [554, 415, 48]-code) | [i] | ✔ | |
| 17 | Linear OA(8112, 554, F8, 37) (dual of [554, 442, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(8113, 558, F8, 37) (dual of [558, 445, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(8150, 565, F8, 50) (dual of [565, 415, 51]-code) | [i] | ✔ | |
| 20 | Linear OA(8115, 563, F8, 37) (dual of [563, 448, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(8130, 543, F8, 45) (dual of [543, 413, 46]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(8125, 540, F8, 44) (dual of [540, 415, 45]-code) | [i] | ✔ | |
| 23 | Linear OA(8124, 538, F8, 44) (dual of [538, 414, 45]-code) | [i] | ✔ | |
| 24 | Linear OA(8123, 536, F8, 44) (dual of [536, 413, 45]-code) | [i] | ✔ | |
| 25 | Linear OA(8122, 540, F8, 43) (dual of [540, 418, 44]-code) | [i] | ✔ | |
| 26 | Linear OA(8121, 538, F8, 43) (dual of [538, 417, 44]-code) | [i] | ✔ | |
| 27 | Linear OA(8120, 536, F8, 43) (dual of [536, 416, 44]-code) | [i] | ✔ | |
| 28 | Linear OA(8124, 543, F8, 43) (dual of [543, 419, 44]-code) | [i] | ✔ | |
| 29 | Linear OA(8114, 527, F8, 42) (dual of [527, 413, 43]-code) | [i] | ✔ | |
| 30 | Linear OA(8111, 527, F8, 41) (dual of [527, 416, 42]-code) | [i] | ✔ | |
| 31 | Linear OA(8107, 540, F8, 37) (dual of [540, 433, 38]-code) | [i] | ✔ | |
| 32 | Linear OA(8106, 538, F8, 37) (dual of [538, 432, 38]-code) | [i] | ✔ | |
| 33 | Linear OA(8105, 536, F8, 37) (dual of [536, 431, 38]-code) | [i] | ✔ | |
| 34 | Linear OA(8109, 543, F8, 37) (dual of [543, 434, 38]-code) | [i] | ✔ | |