Information on Result #616816
Linear OA(2531, 625, F25, 16) (dual of [625, 594, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
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(2539, 651, F25, 16) (dual of [651, 612, 17]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2540, 654, F25, 16) (dual of [654, 614, 17]-code) | [i] | ||
| 3 | Linear OA(2541, 656, F25, 16) (dual of [656, 615, 17]-code) | [i] | ||
| 4 | Linear OA(2542, 677, F25, 16) (dual of [677, 635, 17]-code) | [i] | ||
| 5 | Linear OA(2543, 691, F25, 16) (dual of [691, 648, 17]-code) | [i] | ||
| 6 | Linear OA(2544, 703, F25, 16) (dual of [703, 659, 17]-code) | [i] | ||
| 7 | Linear OA(2542, 637, F25, 16) (dual of [637, 595, 17]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(2543, 639, F25, 16) (dual of [639, 596, 17]-code) | [i] | ||
| 9 | Linear OA(2544, 677, F25, 16) (dual of [677, 633, 17]-code) | [i] | ||
| 10 | Linear OA(2533, 627, F25, 17) (dual of [627, 594, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(2531, 627, F25, 16) (dual of [627, 596, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(2536, 630, F25, 18) (dual of [630, 594, 19]-code) | [i] | ✔ | |
| 13 | Linear OA(2532, 630, F25, 16) (dual of [630, 598, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(2539, 633, F25, 19) (dual of [633, 594, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(2533, 633, F25, 16) (dual of [633, 600, 17]-code) | [i] | ✔ | |
| 16 | Linear OA(2542, 636, F25, 20) (dual of [636, 594, 21]-code) | [i] | ✔ | |
| 17 | Linear OA(2534, 636, F25, 16) (dual of [636, 602, 17]-code) | [i] | ✔ | |
| 18 | Linear OA(2545, 639, F25, 21) (dual of [639, 594, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(2535, 639, F25, 16) (dual of [639, 604, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(2548, 642, F25, 22) (dual of [642, 594, 23]-code) | [i] | ✔ | |
| 21 | Linear OA(2536, 642, F25, 16) (dual of [642, 606, 17]-code) | [i] | ✔ | |
| 22 | Linear OA(2551, 645, F25, 23) (dual of [645, 594, 24]-code) | [i] | ✔ | |
| 23 | Linear OA(2537, 645, F25, 16) (dual of [645, 608, 17]-code) | [i] | ✔ | |
| 24 | Linear OA(2554, 648, F25, 24) (dual of [648, 594, 25]-code) | [i] | ✔ | |
| 25 | Linear OA(2538, 648, F25, 16) (dual of [648, 610, 17]-code) | [i] | ✔ | |
| 26 | Linear OA(2558, 651, F25, 26) (dual of [651, 593, 27]-code) | [i] | ✔ | |
| 27 | Linear OA(2559, 653, F25, 26) (dual of [653, 594, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(2557, 651, F25, 25) (dual of [651, 594, 26]-code) | [i] | ✔ | |
| 29 | Linear OA(2561, 654, F25, 27) (dual of [654, 593, 28]-code) | [i] | ✔ | |
| 30 | Linear OA(2562, 656, F25, 27) (dual of [656, 594, 28]-code) | [i] | ✔ | |
| 31 | Linear OA(2566, 660, F25, 28) (dual of [660, 594, 29]-code) | [i] | ✔ | |
| 32 | Linear OA(2569, 663, F25, 29) (dual of [663, 594, 30]-code) | [i] | ✔ | |
| 33 | Linear OA(2572, 666, F25, 30) (dual of [666, 594, 31]-code) | [i] | ✔ | |
| 34 | Linear OA(2575, 669, F25, 31) (dual of [669, 594, 32]-code) | [i] | ✔ | |
| 35 | Linear OA(2578, 672, F25, 32) (dual of [672, 594, 33]-code) | [i] | ✔ | |
| 36 | Linear OA(2560, 655, F25, 26) (dual of [655, 595, 27]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |