Information on Result #711287

Linear OA(561, 624, F5, 19) (dual of [624, 563, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(561, 515, F5, 2, 19) (dual of [(515, 2), 969, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(561, 515, F5, 3, 19) (dual of [(515, 3), 1484, 20]-NRT-code) [i]
3Digital (42, 61, 515)-net over F5 [i]
4Linear OA(565, 632, F5, 20) (dual of [632, 567, 21]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(587, 662, F5, 24) (dual of [662, 575, 25]-code) [i]✔
6Linear OA(586, 659, F5, 24) (dual of [659, 573, 25]-code) [i]✔
7Linear OA(594, 669, F5, 25) (dual of [669, 575, 26]-code) [i]✔
8Linear OA(593, 667, F5, 25) (dual of [667, 574, 26]-code) [i]✔
9Linear OA(592, 663, F5, 25) (dual of [663, 571, 26]-code) [i]✔
10Linear OA(591, 660, F5, 25) (dual of [660, 569, 26]-code) [i]✔
11Linear OA(585, 656, F5, 24) (dual of [656, 571, 25]-code) [i]✔
12Linear OA(584, 653, F5, 24) (dual of [653, 569, 25]-code) [i]✔
13Linear OA(591, 661, F5, 25) (dual of [661, 570, 26]-code) [i]✔
14Linear OA(590, 657, F5, 25) (dual of [657, 567, 26]-code) [i]✔
15Linear OA(589, 654, F5, 25) (dual of [654, 565, 26]-code) [i]✔
16Linear OA(583, 648, F5, 24) (dual of [648, 565, 25]-code) [i]✔
17Linear OA(592, 656, F5, 26) (dual of [656, 564, 27]-code) [i]✔
18Linear OA(575, 638, F5, 23) (dual of [638, 563, 24]-code) [i]✔
19Linear OA(589, 652, F5, 26) (dual of [652, 563, 27]-code) [i]✔
20Linear OA(586, 649, F5, 25) (dual of [649, 563, 26]-code) [i]✔
21Linear OA(588, 649, F5, 26) (dual of [649, 561, 27]-code) [i]✔
22Linear OA(595, 657, F5, 27) (dual of [657, 562, 28]-code) [i]✔
23Linear OA(594, 655, F5, 27) (dual of [655, 561, 28]-code) [i]✔
24Linear OA(5100, 663, F5, 28) (dual of [663, 563, 29]-code) [i]✔
25Linear OA(599, 660, F5, 28) (dual of [660, 561, 29]-code) [i]✔