Information on Result #613660
Linear OA(537, 625, F5, 12) (dual of [625, 588, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(543, 632, F5, 12) (dual of [632, 589, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(544, 635, F5, 12) (dual of [635, 591, 13]-code) | [i] | ||
| 3 | Linear OA(541, 629, F5, 13) (dual of [629, 588, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(537, 629, F5, 12) (dual of [629, 592, 13]-code) | [i] | ✔ | |
| 5 | Linear OA(546, 634, F5, 14) (dual of [634, 588, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(540, 636, F5, 12) (dual of [636, 596, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(553, 641, F5, 16) (dual of [641, 588, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(541, 641, F5, 12) (dual of [641, 600, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(559, 645, F5, 17) (dual of [645, 586, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(560, 648, F5, 17) (dual of [648, 588, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(543, 645, F5, 12) (dual of [645, 602, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(544, 648, F5, 12) (dual of [648, 604, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(566, 652, F5, 18) (dual of [652, 586, 19]-code) | [i] | ✔ | |
| 14 | Linear OA(567, 655, F5, 18) (dual of [655, 588, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(573, 661, F5, 19) (dual of [661, 588, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(544, 652, F5, 12) (dual of [652, 608, 13]-code) | [i] | ✔ | |
| 17 | Linear OA(572, 657, F5, 19) (dual of [657, 585, 20]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(565, 650, F5, 18) (dual of [650, 585, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(568, 657, F5, 18) (dual of [657, 589, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(558, 643, F5, 17) (dual of [643, 585, 18]-code) | [i] | ✔ | |
| 21 | Linear OA(561, 650, F5, 17) (dual of [650, 589, 18]-code) | [i] | ✔ | |
| 22 | Linear OA(554, 643, F5, 16) (dual of [643, 589, 17]-code) | [i] | ✔ | |
| 23 | Linear OA(547, 636, F5, 14) (dual of [636, 589, 15]-code) | [i] | ✔ | |
| 24 | Linear OA(539, 632, F5, 12) (dual of [632, 593, 13]-code) | [i] | ✔ | |
| 25 | Linear OA(542, 643, F5, 12) (dual of [643, 601, 13]-code) | [i] | ✔ | |