Information on Result #613807

Linear OA(5113, 78126, F5, 21) (dual of [78126, 78013, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, 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(5112, 78125, F5, 20) (dual of [78125, 78013, 21]-code) [i]Truncation
2Linear OA(5125, 78141, F5, 21) (dual of [78141, 78016, 22]-code) [i](u, u+v)-Construction
3Linear OA(5126, 78143, F5, 21) (dual of [78143, 78017, 22]-code) [i]
4Linear OA(5127, 78155, F5, 21) (dual of [78155, 78028, 22]-code) [i]
5Linear OA(5123, 78137, F5, 21) (dual of [78137, 78014, 22]-code) [i]✔Construction X with Cyclic Codes
6Linear OA(5128, 78141, F5, 23) (dual of [78141, 78013, 24]-code) [i]✔
7Linear OA(5114, 78141, F5, 19) (dual of [78141, 78027, 20]-code) [i]✔
8Linear OA(5116, 78132, F5, 21) (dual of [78132, 78016, 22]-code) [i]✔
9Linear OA(5117, 78144, F5, 21) (dual of [78144, 78027, 22]-code) [i]✔
10Linear OA(5115, 78132, F5, 20) (dual of [78132, 78017, 21]-code) [i]✔
11Linear OA(5145, 78152, F5, 25) (dual of [78152, 78007, 26]-code) [i]✔
12Linear OA(5146, 78159, F5, 25) (dual of [78159, 78013, 26]-code) [i]✔
13Linear OA(5144, 78157, F5, 24) (dual of [78157, 78013, 25]-code) [i]✔
14Linear OA(5121, 78150, F5, 21) (dual of [78150, 78029, 22]-code) [i]✔
15Linear OA(5122, 78153, F5, 21) (dual of [78153, 78031, 22]-code) [i]✔
16Linear OA(5123, 78164, F5, 21) (dual of [78164, 78041, 22]-code) [i]✔
17Linear OA(5120, 78152, F5, 20) (dual of [78152, 78032, 21]-code) [i]✔
18Linear OA(5121, 78162, F5, 20) (dual of [78162, 78041, 21]-code) [i]✔
19Linear OA(5117, 78152, F5, 19) (dual of [78152, 78035, 20]-code) [i]✔
20Linear OA(5118, 78159, F5, 19) (dual of [78159, 78041, 20]-code) [i]✔
21Linear OA(5127, 78178, F5, 21) (dual of [78178, 78051, 22]-code) [i]✔
22Linear OA(5128, 78183, F5, 21) (dual of [78183, 78055, 22]-code) [i]✔
23Linear OA(5125, 78180, F5, 20) (dual of [78180, 78055, 21]-code) [i]✔
24Linear OA(5122, 78163, F5, 21) (dual of [78163, 78041, 22]-code) [i]✔
25Linear OA(5120, 78161, F5, 20) (dual of [78161, 78041, 21]-code) [i]✔
26Linear OA(5126, 78181, F5, 21) (dual of [78181, 78055, 22]-code) [i]✔
27Linear OOA(5113, 39063, F5, 2, 21) (dual of [(39063, 2), 78013, 22]-NRT-code) [i]OOA Folding
28Linear OOA(5113, 26042, F5, 3, 21) (dual of [(26042, 3), 78013, 22]-NRT-code) [i]