Information on Result #711051

Linear OA(545, 624, F5, 14) (dual of [624, 579, 15]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15

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(545, 476, F5, 2, 14) (dual of [(476, 2), 907, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(545, 476, F5, 3, 14) (dual of [(476, 3), 1383, 15]-NRT-code) [i]
3Digital (31, 45, 476)-net over F5 [i]
4Linear OA(549, 632, F5, 15) (dual of [632, 583, 16]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(571, 662, F5, 19) (dual of [662, 591, 20]-code) [i]✔
6Linear OA(570, 659, F5, 19) (dual of [659, 589, 20]-code) [i]✔
7Linear OA(577, 667, F5, 20) (dual of [667, 590, 21]-code) [i]✔
8Linear OA(576, 663, F5, 20) (dual of [663, 587, 21]-code) [i]✔
9Linear OA(575, 660, F5, 20) (dual of [660, 585, 21]-code) [i]✔
10Linear OA(569, 656, F5, 19) (dual of [656, 587, 20]-code) [i]✔
11Linear OA(568, 653, F5, 19) (dual of [653, 585, 20]-code) [i]✔
12Linear OA(575, 661, F5, 20) (dual of [661, 586, 21]-code) [i]✔
13Linear OA(574, 657, F5, 20) (dual of [657, 583, 21]-code) [i]✔
14Linear OA(573, 654, F5, 20) (dual of [654, 581, 21]-code) [i]✔
15Linear OA(567, 648, F5, 19) (dual of [648, 581, 20]-code) [i]✔
16Linear OA(576, 656, F5, 21) (dual of [656, 580, 22]-code) [i]✔
17Linear OA(559, 638, F5, 18) (dual of [638, 579, 19]-code) [i]✔
18Linear OA(573, 652, F5, 21) (dual of [652, 579, 22]-code) [i]✔
19Linear OA(570, 649, F5, 20) (dual of [649, 579, 21]-code) [i]✔
20Linear OA(572, 649, F5, 21) (dual of [649, 577, 22]-code) [i]✔
21Linear OA(579, 657, F5, 22) (dual of [657, 578, 23]-code) [i]✔
22Linear OA(586, 664, F5, 23) (dual of [664, 578, 24]-code) [i]✔
23Linear OA(578, 655, F5, 22) (dual of [655, 577, 23]-code) [i]✔
24Linear OA(584, 663, F5, 23) (dual of [663, 579, 24]-code) [i]✔
25Linear OA(583, 660, F5, 23) (dual of [660, 577, 24]-code) [i]✔
26Linear OA(590, 668, F5, 24) (dual of [668, 578, 25]-code) [i]✔
27Linear OA(595, 668, F5, 25) (dual of [668, 573, 26]-code) [i]✔