Information on Result #693763
Linear OA(2557, 626, F25, 29) (dual of [626, 569, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(2562, 631, F25, 31) (dual of [631, 569, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2558, 631, F25, 29) (dual of [631, 573, 30]-code) | [i] | ✔ | |
| 3 | Linear OA(2568, 637, F25, 33) (dual of [637, 569, 34]-code) | [i] | ✔ | |
| 4 | Linear OA(2560, 637, F25, 29) (dual of [637, 577, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(2574, 643, F25, 35) (dual of [643, 569, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(2562, 643, F25, 29) (dual of [643, 581, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(2580, 649, F25, 37) (dual of [649, 569, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(2564, 649, F25, 29) (dual of [649, 585, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(2586, 652, F25, 39) (dual of [652, 566, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(2587, 655, F25, 39) (dual of [655, 568, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(2588, 657, F25, 39) (dual of [657, 569, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(2585, 652, F25, 38) (dual of [652, 567, 39]-code) | [i] | ✔ | |
| 13 | Linear OA(2586, 655, F25, 38) (dual of [655, 569, 39]-code) | [i] | ✔ | |
| 14 | Linear OA(2566, 652, F25, 29) (dual of [652, 586, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(2567, 655, F25, 29) (dual of [655, 588, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(2568, 657, F25, 29) (dual of [657, 589, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(2565, 652, F25, 28) (dual of [652, 587, 29]-code) | [i] | ✔ | |
| 18 | Linear OA(2566, 655, F25, 28) (dual of [655, 589, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(2595, 664, F25, 41) (dual of [664, 569, 42]-code) | [i] | ✔ | |
| 20 | Linear OA(25101, 670, F25, 43) (dual of [670, 569, 44]-code) | [i] | ✔ | |
| 21 | Linear OA(25107, 676, F25, 45) (dual of [676, 569, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(2593, 659, F25, 40) (dual of [659, 566, 41]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 23 | Linear OA(2589, 659, F25, 38) (dual of [659, 570, 39]-code) | [i] | ✔ | |