Information on Result #613743
Linear OA(553, 625, F5, 17) (dual of [625, 572, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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(561, 634, F5, 17) (dual of [634, 573, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(562, 636, F5, 17) (dual of [636, 574, 18]-code) | [i] | ||
| 3 | Linear OA(563, 638, F5, 17) (dual of [638, 575, 18]-code) | [i] | ||
| 4 | Linear OA(564, 641, F5, 17) (dual of [641, 577, 18]-code) | [i] | ||
| 5 | Linear OA(564, 637, F5, 17) (dual of [637, 573, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(557, 629, F5, 18) (dual of [629, 572, 19]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(553, 629, F5, 17) (dual of [629, 576, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(562, 634, F5, 19) (dual of [634, 572, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(556, 636, F5, 17) (dual of [636, 580, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(569, 641, F5, 21) (dual of [641, 572, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(557, 641, F5, 17) (dual of [641, 584, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(575, 645, F5, 22) (dual of [645, 570, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(576, 648, F5, 22) (dual of [648, 572, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(559, 645, F5, 17) (dual of [645, 586, 18]-code) | [i] | ✔ | |
| 15 | Linear OA(560, 648, F5, 17) (dual of [648, 588, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(582, 652, F5, 23) (dual of [652, 570, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(583, 655, F5, 23) (dual of [655, 572, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(562, 652, F5, 17) (dual of [652, 590, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(563, 655, F5, 17) (dual of [655, 592, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(589, 661, F5, 24) (dual of [661, 572, 25]-code) | [i] | ✔ | |
| 21 | Linear OA(597, 669, F5, 26) (dual of [669, 572, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(595, 667, F5, 25) (dual of [667, 572, 26]-code) | [i] | ✔ | |
| 23 | Linear OA(560, 652, F5, 17) (dual of [652, 592, 18]-code) | [i] | ✔ | |
| 24 | Linear OA(588, 657, F5, 24) (dual of [657, 569, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 25 | Linear OA(584, 657, F5, 23) (dual of [657, 573, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(574, 643, F5, 22) (dual of [643, 569, 23]-code) | [i] | ✔ | |
| 27 | Linear OA(577, 650, F5, 22) (dual of [650, 573, 23]-code) | [i] | ✔ | |
| 28 | Linear OA(567, 636, F5, 20) (dual of [636, 569, 21]-code) | [i] | ✔ | |
| 29 | Linear OA(570, 643, F5, 21) (dual of [643, 573, 22]-code) | [i] | ✔ | |
| 30 | Linear OA(563, 636, F5, 19) (dual of [636, 573, 20]-code) | [i] | ✔ | |
| 31 | Linear OA(555, 632, F5, 17) (dual of [632, 577, 18]-code) | [i] | ✔ | |
| 32 | Linear OA(558, 643, F5, 17) (dual of [643, 585, 18]-code) | [i] | ✔ | |
| 33 | Linear OA(561, 650, F5, 17) (dual of [650, 589, 18]-code) | [i] | ✔ | |