Information on Result #700315

Linear OA(25629, 65536, F256, 15) (dual of [65536, 65507, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(25631, 65538, F256, 16) (dual of [65538, 65507, 17]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(25629, 65538, F256, 15) (dual of [65538, 65509, 16]-code) [i]✔
3Linear OA(25637, 65544, F256, 18) (dual of [65544, 65507, 19]-code) [i]✔
4Linear OA(25631, 65544, F256, 15) (dual of [65544, 65513, 16]-code) [i]✔
5Linear OA(25643, 65550, F256, 20) (dual of [65550, 65507, 21]-code) [i]✔
6Linear OA(25633, 65550, F256, 15) (dual of [65550, 65517, 16]-code) [i]✔
7Linear OA(25649, 65556, F256, 22) (dual of [65556, 65507, 23]-code) [i]✔
8Linear OA(25635, 65556, F256, 15) (dual of [65556, 65521, 16]-code) [i]✔
9Linear OA(25655, 65562, F256, 24) (dual of [65562, 65507, 25]-code) [i]✔
10Linear OA(25661, 65568, F256, 26) (dual of [65568, 65507, 27]-code) [i]✔
11Linear OA(25667, 65574, F256, 28) (dual of [65574, 65507, 29]-code) [i]✔
12Linear OOA(25629, 16384, F256, 4, 15) (dual of [(16384, 4), 65507, 16]-NRT-code) [i]OOA Folding
13Linear OOA(25629, 13107, F256, 5, 15) (dual of [(13107, 5), 65506, 16]-NRT-code) [i]
14Linear OOA(25629, 9362, F256, 15, 15) (dual of [(9362, 15), 140401, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row