Information on Result #711004

Linear OA(557, 624, F5, 18) (dual of [624, 567, 19]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,12}, and designed minimum distance d ≥ |I|+1 = 19

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(557, 465, F5, 2, 18) (dual of [(465, 2), 873, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(557, 465, F5, 3, 18) (dual of [(465, 3), 1338, 19]-NRT-code) [i]
3Digital (39, 57, 465)-net over F5 [i]
4Linear OA(567, 659, F5, 18) (dual of [659, 592, 19]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(566, 657, F5, 18) (dual of [657, 591, 19]-code) [i]✔
6Linear OA(565, 654, F5, 18) (dual of [654, 589, 19]-code) [i]✔
7Linear OA(568, 663, F5, 18) (dual of [663, 595, 19]-code) [i]✔
8Linear OA(567, 660, F5, 18) (dual of [660, 593, 19]-code) [i]✔
9Linear OA(565, 656, F5, 18) (dual of [656, 591, 19]-code) [i]✔
10Linear OA(564, 653, F5, 18) (dual of [653, 589, 19]-code) [i]✔
11Linear OA(563, 648, F5, 18) (dual of [648, 585, 19]-code) [i]✔
12Linear OA(567, 648, F5, 19) (dual of [648, 581, 20]-code) [i]✔
13Linear OA(575, 656, F5, 21) (dual of [656, 581, 22]-code) [i]✔
14Linear OA(572, 655, F5, 20) (dual of [655, 583, 21]-code) [i]✔
15Linear OA(574, 655, F5, 21) (dual of [655, 581, 22]-code) [i]✔
16Linear OA(580, 663, F5, 22) (dual of [663, 583, 23]-code) [i]✔
17Linear OA(579, 660, F5, 22) (dual of [660, 581, 23]-code) [i]✔