Information on Result #678360

Linear OA(4109, 262144, F4, 17) (dual of [262144, 262035, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

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(4118, 262153, F4, 18) (dual of [262153, 262035, 19]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(4110, 262154, F4, 17) (dual of [262154, 262044, 18]-code) [i]✔
3Linear OA(4110, 262163, F4, 16) (dual of [262163, 262053, 17]-code) [i]✔
4Linear OA(4112, 262165, F4, 17) (dual of [262165, 262053, 18]-code) [i]✔
5Linear OA(4141, 262176, F4, 21) (dual of [262176, 262035, 22]-code) [i]✔
6Linear OA(4114, 262176, F4, 17) (dual of [262176, 262062, 18]-code) [i]✔
7Linear OA(4152, 262187, F4, 22) (dual of [262187, 262035, 23]-code) [i]✔
8Linear OA(4164, 262199, F4, 23) (dual of [262199, 262035, 24]-code) [i]✔
9Linear OA(4119, 262199, F4, 16) (dual of [262199, 262080, 17]-code) [i]✔
10Linear OA(4163, 262195, F4, 23) (dual of [262195, 262032, 24]-code) [i]✔
11Linear OA(4118, 262195, F4, 16) (dual of [262195, 262077, 17]-code) [i]✔
12Linear OA(4139, 262167, F4, 20) (dual of [262167, 262028, 21]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
13Linear OA(4112, 262167, F4, 16) (dual of [262167, 262055, 17]-code) [i]✔
14Linear OA(4110, 262164, F4, 16) (dual of [262164, 262054, 17]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
15Linear OOA(4109, 131072, F4, 2, 17) (dual of [(131072, 2), 262035, 18]-NRT-code) [i]OOA Folding
16Linear OOA(4109, 87381, F4, 3, 17) (dual of [(87381, 3), 262034, 18]-NRT-code) [i]