Information on Result #613798

Linear OA(565, 626, F5, 21) (dual of [626, 561, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound)

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(564, 625, F5, 20) (dual of [625, 561, 21]-code) [i]Truncation
2Linear OA(577, 641, F5, 21) (dual of [641, 564, 22]-code) [i](u, u+v)-Construction
3Linear OA(578, 643, F5, 21) (dual of [643, 565, 22]-code) [i]
4Linear OA(579, 655, F5, 21) (dual of [655, 576, 22]-code) [i]
5Linear OA(570, 649, F5, 21) (dual of [649, 579, 22]-code) [i]VarÅ¡amov–Edel Lengthening
6Linear OA(571, 670, F5, 21) (dual of [670, 599, 22]-code) [i]
7Linear OA(572, 705, F5, 21) (dual of [705, 633, 22]-code) [i]
8Linear OA(573, 753, F5, 21) (dual of [753, 680, 22]-code) [i]
9Linear OA(574, 812, F5, 21) (dual of [812, 738, 22]-code) [i]
10Linear OA(574, 636, F5, 21) (dual of [636, 562, 22]-code) [i]✔Construction X with Cyclic Codes
11Linear OA(574, 635, F5, 23) (dual of [635, 561, 24]-code) [i]✔
12Linear OA(566, 635, F5, 19) (dual of [635, 569, 20]-code) [i]✔
13Linear OA(568, 632, F5, 21) (dual of [632, 564, 22]-code) [i]✔
14Linear OA(569, 638, F5, 21) (dual of [638, 569, 22]-code) [i]✔
15Linear OA(567, 632, F5, 20) (dual of [632, 565, 21]-code) [i]✔
16Linear OA(585, 646, F5, 25) (dual of [646, 561, 26]-code) [i]✔
17Linear OA(572, 647, F5, 21) (dual of [647, 575, 22]-code) [i]✔
18Linear OA(573, 650, F5, 21) (dual of [650, 577, 22]-code) [i]✔
19Linear OA(569, 646, F5, 19) (dual of [646, 577, 20]-code) [i]✔
20Linear OA(598, 653, F5, 27) (dual of [653, 555, 28]-code) [i]✔
21Linear OA(599, 660, F5, 27) (dual of [660, 561, 28]-code) [i]✔
22Linear OA(596, 652, F5, 26) (dual of [652, 556, 27]-code) [i]✔
23Linear OA(597, 658, F5, 26) (dual of [658, 561, 27]-code) [i]✔
24Linear OA(578, 657, F5, 21) (dual of [657, 579, 22]-code) [i]✔
25Linear OA(579, 664, F5, 21) (dual of [664, 585, 22]-code) [i]✔
26Linear OA(577, 662, F5, 20) (dual of [662, 585, 21]-code) [i]✔
27Linear OA(5115, 676, F5, 31) (dual of [676, 561, 32]-code) [i]✔
28Linear OA(598, 655, F5, 27) (dual of [655, 557, 28]-code) [i]✔Construction XX with a Chain of Cyclic Codes
29Linear OA(597, 653, F5, 27) (dual of [653, 556, 28]-code) [i]✔
30Linear OA(596, 651, F5, 27) (dual of [651, 555, 28]-code) [i]✔
31Linear OA(595, 649, F5, 27) (dual of [649, 554, 28]-code) [i]✔
32Linear OA(584, 638, F5, 25) (dual of [638, 554, 26]-code) [i]✔
33Linear OA(594, 660, F5, 25) (dual of [660, 566, 26]-code) [i]✔
34Linear OA(593, 658, F5, 25) (dual of [658, 565, 26]-code) [i]✔
35Linear OA(591, 656, F5, 24) (dual of [656, 565, 25]-code) [i]✔
36Linear OA(591, 655, F5, 25) (dual of [655, 564, 26]-code) [i]✔
37Linear OA(590, 653, F5, 25) (dual of [653, 563, 26]-code) [i]✔
38Linear OA(589, 651, F5, 25) (dual of [651, 562, 26]-code) [i]✔
39Linear OA(579, 642, F5, 23) (dual of [642, 563, 24]-code) [i]✔
40Linear OA(578, 640, F5, 23) (dual of [640, 562, 24]-code) [i]✔
41Linear OA(571, 641, F5, 21) (dual of [641, 570, 22]-code) [i]✔
42Linear OA(568, 638, F5, 19) (dual of [638, 570, 20]-code) [i]✔
43Linear OA(576, 656, F5, 20) (dual of [656, 580, 21]-code) [i]✔
44Linear OA(573, 653, F5, 19) (dual of [653, 580, 20]-code) [i]✔
45Linear OA(577, 656, F5, 21) (dual of [656, 579, 22]-code) [i]✔
46Linear OA(575, 654, F5, 20) (dual of [654, 579, 21]-code) [i]✔
47Linear OA(572, 651, F5, 19) (dual of [651, 579, 20]-code) [i]✔
48Linear OA(576, 654, F5, 21) (dual of [654, 578, 22]-code) [i]✔
49Linear OA(574, 652, F5, 20) (dual of [652, 578, 21]-code) [i]✔
50Linear OA(571, 649, F5, 19) (dual of [649, 578, 20]-code) [i]✔
51Linear OOA(565, 313, F5, 2, 21) (dual of [(313, 2), 561, 22]-NRT-code) [i]OOA Folding