Information on Result #711023

Linear OA(541, 624, F5, 13) (dual of [624, 583, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14

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(541, 420, F5, 2, 13) (dual of [(420, 2), 799, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(541, 420, F5, 3, 13) (dual of [(420, 3), 1219, 14]-NRT-code) [i]
3Digital (28, 41, 420)-net over F5 [i]
4Linear OA(551, 642, F5, 15) (dual of [642, 591, 16]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(545, 632, F5, 14) (dual of [632, 587, 15]-code) [i]✔
6Linear OA(568, 663, F5, 18) (dual of [663, 595, 19]-code) [i]✔
7Linear OA(567, 660, F5, 18) (dual of [660, 593, 19]-code) [i]✔
8Linear OA(550, 637, F5, 15) (dual of [637, 587, 16]-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(572, 663, F5, 19) (dual of [663, 591, 20]-code) [i]✔
12Linear OA(571, 661, F5, 19) (dual of [661, 590, 20]-code) [i]✔
13Linear OA(570, 657, F5, 19) (dual of [657, 587, 20]-code) [i]✔
14Linear OA(569, 654, F5, 19) (dual of [654, 585, 20]-code) [i]✔
15Linear OA(563, 648, F5, 18) (dual of [648, 585, 19]-code) [i]✔
16Linear OA(577, 664, F5, 20) (dual of [664, 587, 21]-code) [i]✔
17Linear OA(576, 661, F5, 20) (dual of [661, 585, 21]-code) [i]✔
18Linear OA(568, 649, F5, 19) (dual of [649, 581, 20]-code) [i]✔
19Linear OA(575, 656, F5, 20) (dual of [656, 581, 21]-code) [i]✔
20Linear OA(549, 632, F5, 15) (dual of [632, 583, 16]-code) [i]✔
21Linear OA(567, 648, F5, 19) (dual of [648, 581, 20]-code) [i]✔
22Linear OA(572, 655, F5, 20) (dual of [655, 583, 21]-code) [i]✔
23Linear OA(574, 655, F5, 21) (dual of [655, 581, 22]-code) [i]✔
24Linear OA(580, 663, F5, 22) (dual of [663, 583, 23]-code) [i]✔
25Linear OA(579, 660, F5, 22) (dual of [660, 581, 23]-code) [i]✔
26Linear OA(587, 670, F5, 23) (dual of [670, 583, 24]-code) [i]✔
27Linear OA(586, 668, F5, 23) (dual of [668, 582, 24]-code) [i]✔
28Linear OA(593, 675, F5, 24) (dual of [675, 582, 25]-code) [i]✔
29Linear OA(592, 671, F5, 24) (dual of [671, 579, 25]-code) [i]✔
30Linear OA(591, 668, F5, 24) (dual of [668, 577, 25]-code) [i]✔