Information on Result #730692

Linear OA(25648, 771, F256, 29) (dual of [771, 723, 30]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {114,115,…,142}, and designed minimum distance d ≥ |I|+1 = 30

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(25648, 655, F256, 2, 29) (dual of [(655, 2), 1262, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(25648, 655, F256, 3, 29) (dual of [(655, 3), 1917, 30]-NRT-code) [i]
3Linear OOA(25648, 655, F256, 4, 29) (dual of [(655, 4), 2572, 30]-NRT-code) [i]
4Linear OOA(25648, 655, F256, 5, 29) (dual of [(655, 5), 3227, 30]-NRT-code) [i]
5Linear OOA(25648, 655, F256, 6, 29) (dual of [(655, 6), 3882, 30]-NRT-code) [i]
6Digital (19, 48, 655)-net over F256 [i]
7Linear OA(25648, 773, F256, 29) (dual of [773, 725, 30]-code) [i]✔Construction X with Cyclic Codes
8Linear OA(25650, 777, F256, 29) (dual of [777, 727, 30]-code) [i]✔
9Linear OA(25651, 780, F256, 29) (dual of [780, 729, 30]-code) [i]✔
10Linear OA(25650, 773, F256, 30) (dual of [773, 723, 31]-code) [i]✔
11Linear OA(25653, 776, F256, 31) (dual of [776, 723, 32]-code) [i]✔
12Linear OA(25656, 779, F256, 32) (dual of [779, 723, 33]-code) [i]✔
13Linear OA(25650, 779, F256, 29) (dual of [779, 729, 30]-code) [i]✔Construction XX with Cyclic Codes
14Linear OA(25652, 779, F256, 30) (dual of [779, 727, 31]-code) [i]✔
15Linear OA(25649, 776, F256, 29) (dual of [776, 727, 30]-code) [i]✔
16Linear OA(25650, 775, F256, 30) (dual of [775, 725, 31]-code) [i]✔
17Linear OA(25653, 778, F256, 31) (dual of [778, 725, 32]-code) [i]✔
18Linear OA(25656, 781, F256, 32) (dual of [781, 725, 33]-code) [i]✔
19Linear OA(25652, 775, F256, 31) (dual of [775, 723, 32]-code) [i]✔