Information on Result #711345

Linear OA(565, 624, F5, 20) (dual of [624, 559, 21]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {138,139,…,157}, and designed minimum distance d ≥ |I|+1 = 21

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(565, 565, F5, 2, 20) (dual of [(565, 2), 1065, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(565, 565, F5, 3, 20) (dual of [(565, 3), 1630, 21]-NRT-code) [i]
3Digital (45, 65, 565)-net over F5 [i]
4Linear OA(570, 633, F5, 22) (dual of [633, 563, 23]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(584, 655, F5, 24) (dual of [655, 571, 25]-code) [i]✔
6Linear OA(576, 639, F5, 23) (dual of [639, 563, 24]-code) [i]✔
7Linear OA(582, 649, F5, 24) (dual of [649, 567, 25]-code) [i]✔
8Linear OA(591, 662, F5, 25) (dual of [662, 571, 26]-code) [i]✔
9Linear OA(590, 659, F5, 25) (dual of [659, 569, 26]-code) [i]✔
10Linear OA(581, 644, F5, 24) (dual of [644, 563, 25]-code) [i]✔
11Linear OA(589, 656, F5, 25) (dual of [656, 567, 26]-code) [i]✔
12Linear OA(588, 653, F5, 25) (dual of [653, 565, 26]-code) [i]✔
13Linear OA(5102, 666, F5, 28) (dual of [666, 564, 29]-code) [i]✔
14Linear OA(598, 656, F5, 28) (dual of [656, 558, 29]-code) [i]✔
15Linear OA(596, 659, F5, 27) (dual of [659, 563, 28]-code) [i]✔
16Linear OA(5101, 664, F5, 28) (dual of [664, 563, 29]-code) [i]✔
17Linear OA(597, 654, F5, 28) (dual of [654, 557, 29]-code) [i]✔
18Linear OA(5101, 654, F5, 29) (dual of [654, 553, 30]-code) [i]✔
19Linear OA(586, 645, F5, 26) (dual of [645, 559, 27]-code) [i]✔
20Linear OA(5106, 659, F5, 30) (dual of [659, 553, 31]-code) [i]✔
21Linear OA(5117, 676, F5, 32) (dual of [676, 559, 33]-code) [i]✔
22Linear OA(5115, 670, F5, 32) (dual of [670, 555, 33]-code) [i]✔
23Linear OA(5113, 666, F5, 32) (dual of [666, 553, 33]-code) [i]✔
24Linear OA(5122, 677, F5, 33) (dual of [677, 555, 34]-code) [i]✔
25Linear OA(5120, 673, F5, 33) (dual of [673, 553, 34]-code) [i]✔