Information on Result #712070

Linear OA(5103, 624, F5, 33) (dual of [624, 521, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34

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(5103, 599, F5, 2, 33) (dual of [(599, 2), 1095, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5103, 599, F5, 3, 33) (dual of [(599, 3), 1694, 34]-NRT-code) [i]
3Digital (70, 103, 599)-net over F5 [i]
4Linear OA(5143, 684, F5, 39) (dual of [684, 541, 40]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(5113, 642, F5, 35) (dual of [642, 529, 36]-code) [i]✔
6Linear OA(5107, 632, F5, 34) (dual of [632, 525, 35]-code) [i]✔
7Linear OA(5148, 685, F5, 40) (dual of [685, 537, 41]-code) [i]✔
8Linear OA(5147, 682, F5, 40) (dual of [682, 535, 41]-code) [i]✔
9Linear OA(5140, 677, F5, 39) (dual of [677, 537, 40]-code) [i]✔
10Linear OA(5130, 663, F5, 38) (dual of [663, 533, 39]-code) [i]✔
11Linear OA(5129, 660, F5, 38) (dual of [660, 531, 39]-code) [i]✔
12Linear OA(5112, 637, F5, 35) (dual of [637, 525, 36]-code) [i]✔
13Linear OA(5146, 682, F5, 40) (dual of [682, 536, 41]-code) [i]✔
14Linear OA(5145, 678, F5, 40) (dual of [678, 533, 41]-code) [i]✔
15Linear OA(5136, 668, F5, 39) (dual of [668, 532, 40]-code) [i]✔
16Linear OA(5143, 675, F5, 40) (dual of [675, 532, 41]-code) [i]✔
17Linear OA(5142, 671, F5, 40) (dual of [671, 529, 41]-code) [i]✔
18Linear OA(5141, 668, F5, 40) (dual of [668, 527, 41]-code) [i]✔
19Linear OA(5127, 656, F5, 38) (dual of [656, 529, 39]-code) [i]✔
20Linear OA(5126, 653, F5, 38) (dual of [653, 527, 39]-code) [i]✔
21Linear OA(5134, 663, F5, 39) (dual of [663, 529, 40]-code) [i]✔
22Linear OA(5133, 661, F5, 39) (dual of [661, 528, 40]-code) [i]✔
23Linear OA(5132, 657, F5, 39) (dual of [657, 525, 40]-code) [i]✔
24Linear OA(5131, 654, F5, 39) (dual of [654, 523, 40]-code) [i]✔
25Linear OA(5125, 648, F5, 38) (dual of [648, 523, 39]-code) [i]✔
26Linear OA(5140, 668, F5, 40) (dual of [668, 528, 41]-code) [i]✔
27Linear OA(5139, 664, F5, 40) (dual of [664, 525, 41]-code) [i]✔
28Linear OA(5138, 661, F5, 40) (dual of [661, 523, 41]-code) [i]✔
29Linear OA(5130, 649, F5, 39) (dual of [649, 519, 40]-code) [i]✔
30Linear OA(5137, 656, F5, 40) (dual of [656, 519, 41]-code) [i]✔
31Linear OA(5111, 632, F5, 35) (dual of [632, 521, 36]-code) [i]✔
32Linear OA(5129, 648, F5, 39) (dual of [648, 519, 40]-code) [i]✔
33Linear OA(5134, 655, F5, 40) (dual of [655, 521, 41]-code) [i]✔
34Linear OA(5136, 655, F5, 41) (dual of [655, 519, 42]-code) [i]✔
35Linear OA(5142, 663, F5, 42) (dual of [663, 521, 43]-code) [i]✔
36Linear OA(5141, 660, F5, 42) (dual of [660, 519, 43]-code) [i]✔
37Linear OA(5149, 670, F5, 43) (dual of [670, 521, 44]-code) [i]✔
38Linear OA(5148, 668, F5, 43) (dual of [668, 520, 44]-code) [i]✔