Information on Result #683443
Linear OA(573, 625, F5, 23) (dual of [625, 552, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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(577, 629, F5, 24) (dual of [629, 552, 25]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(573, 629, F5, 23) (dual of [629, 556, 24]-code) | [i] | ✔ | |
| 3 | Linear OA(584, 636, F5, 26) (dual of [636, 552, 27]-code) | [i] | ✔ | |
| 4 | Linear OA(587, 639, F5, 27) (dual of [639, 552, 28]-code) | [i] | ✔ | |
| 5 | Linear OA(577, 641, F5, 23) (dual of [641, 564, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(593, 645, F5, 28) (dual of [645, 552, 29]-code) | [i] | ✔ | |
| 7 | Linear OA(579, 645, F5, 23) (dual of [645, 566, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(580, 648, F5, 23) (dual of [648, 568, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(599, 649, F5, 29) (dual of [649, 550, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(5100, 652, F5, 29) (dual of [652, 552, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(582, 652, F5, 23) (dual of [652, 570, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(583, 655, F5, 23) (dual of [655, 572, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(5109, 661, F5, 31) (dual of [661, 552, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(5107, 659, F5, 30) (dual of [659, 552, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(585, 661, F5, 23) (dual of [661, 576, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(5115, 667, F5, 32) (dual of [667, 552, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(589, 669, F5, 23) (dual of [669, 580, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(5121, 673, F5, 33) (dual of [673, 552, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(5127, 677, F5, 34) (dual of [677, 550, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(5106, 658, F5, 31) (dual of [658, 552, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(5108, 657, F5, 31) (dual of [657, 549, 32]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(5106, 655, F5, 30) (dual of [655, 549, 31]-code) | [i] | ✔ | |
| 23 | Linear OA(5108, 661, F5, 30) (dual of [661, 553, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(5102, 655, F5, 29) (dual of [655, 553, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(592, 641, F5, 28) (dual of [641, 549, 29]-code) | [i] | ✔ | |
| 26 | Linear OA(588, 641, F5, 27) (dual of [641, 553, 28]-code) | [i] | ✔ | |
| 27 | Linear OA(583, 632, F5, 26) (dual of [632, 549, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(578, 643, F5, 23) (dual of [643, 565, 24]-code) | [i] | ✔ | |
| 29 | Linear OA(584, 657, F5, 23) (dual of [657, 573, 24]-code) | [i] | ✔ | |