Information on Result #711182

Linear OA(573, 624, F5, 23) (dual of [624, 551, 24]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−6,−5,…,16}, and designed minimum distance d ≥ |I|+1 = 24

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(573, 527, F5, 2, 23) (dual of [(527, 2), 981, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(573, 527, F5, 3, 23) (dual of [(527, 3), 1508, 24]-NRT-code) [i]
3Digital (50, 73, 527)-net over F5 [i]
4Linear OA(586, 665, F5, 23) (dual of [665, 579, 24]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(584, 659, F5, 23) (dual of [659, 575, 24]-code) [i]✔
6Linear OA(583, 656, F5, 23) (dual of [656, 573, 24]-code) [i]✔
7Linear OA(582, 653, F5, 23) (dual of [653, 571, 24]-code) [i]✔
8Linear OA(587, 670, F5, 23) (dual of [670, 583, 24]-code) [i]✔
9Linear OA(586, 668, F5, 23) (dual of [668, 582, 24]-code) [i]✔
10Linear OA(582, 656, F5, 23) (dual of [656, 574, 24]-code) [i]✔
11Linear OA(581, 652, F5, 23) (dual of [652, 571, 24]-code) [i]✔
12Linear OA(580, 649, F5, 23) (dual of [649, 569, 24]-code) [i]✔
13Linear OA(586, 653, F5, 24) (dual of [653, 567, 25]-code) [i]✔
14Linear OA(584, 649, F5, 24) (dual of [649, 565, 25]-code) [i]✔
15Linear OA(591, 658, F5, 25) (dual of [658, 567, 26]-code) [i]✔
16Linear OA(591, 661, F5, 25) (dual of [661, 570, 26]-code) [i]✔
17Linear OA(590, 657, F5, 25) (dual of [657, 567, 26]-code) [i]✔
18Linear OA(589, 654, F5, 25) (dual of [654, 565, 26]-code) [i]✔
19Linear OA(599, 668, F5, 27) (dual of [668, 569, 28]-code) [i]✔
20Linear OA(598, 665, F5, 27) (dual of [665, 567, 28]-code) [i]✔
21Linear OA(599, 670, F5, 27) (dual of [670, 571, 28]-code) [i]✔
22Linear OA(598, 668, F5, 27) (dual of [668, 570, 28]-code) [i]✔
23Linear OA(597, 664, F5, 27) (dual of [664, 567, 28]-code) [i]✔
24Linear OA(596, 661, F5, 27) (dual of [661, 565, 28]-code) [i]✔