Information on Result #617246
Linear OA(2597, 626, F25, 53) (dual of [626, 529, 54]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,26], and minimum distance d ≥ |{−26,−25,…,26}|+1 = 54 (BCH-bound)
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2597, 626, F25, 52) (dual of [626, 529, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2598, 627, F25, 53) (dual of [627, 529, 54]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2594, 623, F25, 50) (dual of [623, 529, 51]-code) | [i] | Truncation | |
| 4 | Linear OA(2593, 622, F25, 49) (dual of [622, 529, 50]-code) | [i] | ||
| 5 | Linear OA(25106, 658, F25, 53) (dual of [658, 552, 54]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(25107, 678, F25, 53) (dual of [678, 571, 54]-code) | [i] | ||
| 7 | Linear OA(25108, 707, F25, 53) (dual of [707, 599, 54]-code) | [i] | ||
| 8 | Linear OA(25109, 746, F25, 53) (dual of [746, 637, 54]-code) | [i] | ||
| 9 | Linear OA(25102, 631, F25, 55) (dual of [631, 529, 56]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(25102, 635, F25, 53) (dual of [635, 533, 54]-code) | [i] | ✔ | |
| 11 | Linear OA(25108, 637, F25, 57) (dual of [637, 529, 58]-code) | [i] | ✔ | |
| 12 | Linear OA(25104, 641, F25, 53) (dual of [641, 537, 54]-code) | [i] | ✔ | |
| 13 | Linear OA(25106, 647, F25, 53) (dual of [647, 541, 54]-code) | [i] | ✔ | |
| 14 | Linear OA(25108, 652, F25, 53) (dual of [652, 544, 54]-code) | [i] | ✔ | |
| 15 | Linear OA(25109, 654, F25, 53) (dual of [654, 545, 54]-code) | [i] | ✔ | |
| 16 | Linear OA(25107, 652, F25, 52) (dual of [652, 545, 53]-code) | [i] | ✔ | |
| 17 | Linear OA(25109, 655, F25, 51) (dual of [655, 546, 52]-code) | [i] | ✔ | |
| 18 | Linear OA(25110, 657, F25, 51) (dual of [657, 547, 52]-code) | [i] | ✔ | |
| 19 | Linear OA(25108, 655, F25, 50) (dual of [655, 547, 51]-code) | [i] | ✔ | |
| 20 | Linear OA(25109, 657, F25, 50) (dual of [657, 548, 51]-code) | [i] | ✔ | |
| 21 | Linear OA(25110, 659, F25, 50) (dual of [659, 549, 51]-code) | [i] | ✔ | |
| 22 | Linear OA(25106, 652, F25, 49) (dual of [652, 546, 50]-code) | [i] | ✔ | |
| 23 | Linear OA(25107, 655, F25, 49) (dual of [655, 548, 50]-code) | [i] | ✔ | |
| 24 | Linear OA(25108, 657, F25, 49) (dual of [657, 549, 50]-code) | [i] | ✔ | |
| 25 | Linear OA(25105, 652, F25, 48) (dual of [652, 547, 49]-code) | [i] | ✔ | |
| 26 | Linear OA(25106, 655, F25, 48) (dual of [655, 549, 49]-code) | [i] | ✔ | |
| 27 | Linear OA(25110, 663, F25, 48) (dual of [663, 553, 49]-code) | [i] | ✔ | |
| 28 | Linear OA(25110, 656, F25, 52) (dual of [656, 546, 53]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 29 | Linear OA(25108, 654, F25, 51) (dual of [654, 546, 52]-code) | [i] | ✔ | |
| 30 | Linear OA(25109, 659, F25, 48) (dual of [659, 550, 49]-code) | [i] | ✔ | |
| 31 | Linear OOA(2597, 313, F25, 2, 53) (dual of [(313, 2), 529, 54]-NRT-code) | [i] | OOA Folding | |