Information on Result #613683

Linear OA(571, 78126, F5, 13) (dual of [78126, 78055, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(578, 78136, F5, 13) (dual of [78136, 78058, 14]-code) [i](u, u+v)-Construction
2Linear OA(579, 78139, F5, 13) (dual of [78139, 78060, 14]-code) [i]
3Linear OA(580, 78151, F5, 13) (dual of [78151, 78071, 14]-code) [i]
4Linear OA(577, 78133, F5, 13) (dual of [78133, 78056, 14]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(586, 78141, F5, 15) (dual of [78141, 78055, 16]-code) [i]✔
6Linear OA(572, 78141, F5, 13) (dual of [78141, 78069, 14]-code) [i]✔
7Linear OA(5103, 78152, F5, 17) (dual of [78152, 78049, 18]-code) [i]✔
8Linear OA(5104, 78159, F5, 17) (dual of [78159, 78055, 18]-code) [i]✔
9Linear OA(579, 78150, F5, 13) (dual of [78150, 78071, 14]-code) [i]✔
10Linear OA(580, 78153, F5, 13) (dual of [78153, 78073, 14]-code) [i]✔
11Linear OA(5127, 78178, F5, 21) (dual of [78178, 78051, 22]-code) [i]✔
12Linear OA(5128, 78183, F5, 21) (dual of [78183, 78055, 22]-code) [i]✔
13Linear OA(5125, 78180, F5, 20) (dual of [78180, 78055, 21]-code) [i]✔
14Linear OA(580, 78163, F5, 13) (dual of [78163, 78083, 14]-code) [i]✔
15Linear OA(5126, 78181, F5, 21) (dual of [78181, 78055, 22]-code) [i]✔
16Linear OA(586, 78142, F5, 15) (dual of [78142, 78056, 16]-code) [i]✔Construction X4 with Cyclic Codes
17Linear OA(572, 78142, F5, 13) (dual of [78142, 78070, 14]-code) [i]✔