Information on Result #711998

Linear OA(599, 624, F5, 32) (dual of [624, 525, 33]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33

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(599, 559, F5, 2, 32) (dual of [(559, 2), 1019, 33]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(599, 559, F5, 3, 32) (dual of [(559, 3), 1578, 33]-NRT-code) [i]
3Digital (67, 99, 559)-net over F5 [i]
4Linear OA(5103, 632, F5, 33) (dual of [632, 529, 34]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(5144, 686, F5, 39) (dual of [686, 542, 40]-code) [i]✔
6Linear OA(5143, 682, F5, 39) (dual of [682, 539, 40]-code) [i]✔
7Linear OA(5142, 679, F5, 39) (dual of [679, 537, 40]-code) [i]✔
8Linear OA(5136, 677, F5, 38) (dual of [677, 541, 39]-code) [i]✔
9Linear OA(5126, 663, F5, 37) (dual of [663, 537, 38]-code) [i]✔
10Linear OA(5125, 660, F5, 37) (dual of [660, 535, 38]-code) [i]✔
11Linear OA(5108, 637, F5, 34) (dual of [637, 529, 35]-code) [i]✔
12Linear OA(5142, 682, F5, 39) (dual of [682, 540, 40]-code) [i]✔
13Linear OA(5141, 678, F5, 39) (dual of [678, 537, 40]-code) [i]✔
14Linear OA(5133, 670, F5, 38) (dual of [670, 537, 39]-code) [i]✔
15Linear OA(5132, 668, F5, 38) (dual of [668, 536, 39]-code) [i]✔
16Linear OA(5124, 655, F5, 37) (dual of [655, 531, 38]-code) [i]✔
17Linear OA(5114, 643, F5, 35) (dual of [643, 529, 36]-code) [i]✔
18Linear OA(5148, 683, F5, 40) (dual of [683, 535, 41]-code) [i]✔
19Linear OA(5139, 675, F5, 39) (dual of [675, 536, 40]-code) [i]✔
20Linear OA(5138, 671, F5, 39) (dual of [671, 533, 40]-code) [i]✔
21Linear OA(5137, 668, F5, 39) (dual of [668, 531, 40]-code) [i]✔
22Linear OA(5145, 676, F5, 40) (dual of [676, 531, 41]-code) [i]✔
23Linear OA(5122, 651, F5, 37) (dual of [651, 529, 38]-code) [i]✔
24Linear OA(5121, 648, F5, 37) (dual of [648, 527, 38]-code) [i]✔
25Linear OA(5128, 656, F5, 38) (dual of [656, 528, 39]-code) [i]✔
26Linear OA(5127, 652, F5, 38) (dual of [652, 525, 39]-code) [i]✔
27Linear OA(5126, 649, F5, 38) (dual of [649, 523, 39]-code) [i]✔
28Linear OA(5135, 663, F5, 39) (dual of [663, 528, 40]-code) [i]✔
29Linear OA(5133, 656, F5, 39) (dual of [656, 523, 40]-code) [i]✔
30Linear OA(5107, 632, F5, 34) (dual of [632, 525, 35]-code) [i]✔
31Linear OA(5112, 637, F5, 35) (dual of [637, 525, 36]-code) [i]✔
32Linear OA(5125, 648, F5, 38) (dual of [648, 523, 39]-code) [i]✔
33Linear OA(5130, 649, F5, 39) (dual of [649, 519, 40]-code) [i]✔
34Linear OA(5137, 656, F5, 40) (dual of [656, 519, 41]-code) [i]✔
35Linear OA(5131, 656, F5, 39) (dual of [656, 525, 40]-code) [i]✔
36Linear OA(5130, 653, F5, 39) (dual of [653, 523, 40]-code) [i]✔
37Linear OA(5137, 661, F5, 40) (dual of [661, 524, 41]-code) [i]✔
38Linear OA(5136, 657, F5, 40) (dual of [657, 521, 41]-code) [i]✔
39Linear OA(5135, 654, F5, 40) (dual of [654, 519, 41]-code) [i]✔
40Linear OA(5138, 663, F5, 41) (dual of [663, 525, 42]-code) [i]✔
41Linear OA(5135, 660, F5, 40) (dual of [660, 525, 41]-code) [i]✔
42Linear OA(5137, 660, F5, 41) (dual of [660, 523, 42]-code) [i]✔
43Linear OA(5145, 670, F5, 42) (dual of [670, 525, 43]-code) [i]✔
44Linear OA(5144, 668, F5, 42) (dual of [668, 524, 43]-code) [i]✔
45Linear OA(5143, 664, F5, 42) (dual of [664, 521, 43]-code) [i]✔
46Linear OA(5142, 661, F5, 42) (dual of [661, 519, 43]-code) [i]✔
47Linear OA(5150, 671, F5, 43) (dual of [671, 521, 44]-code) [i]✔
48Linear OA(5149, 668, F5, 43) (dual of [668, 519, 44]-code) [i]✔