Information on Result #678449
Linear OA(4161, 262187, F4, 23) (dual of [262187, 262026, 24]-code), using construction X applied to Ce(22) ⊂ Ce(17) based on
- linear OA(4154, 262144, F4, 23) (dual of [262144, 261990, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4162, 262188, F4, 23) (dual of [262188, 262026, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4163, 262189, F4, 23) (dual of [262189, 262026, 24]-code) | [i] | ||
| 3 | Linear OOA(4161, 131093, F4, 2, 23) (dual of [(131093, 2), 262025, 24]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4161, 87395, F4, 3, 23) (dual of [(87395, 3), 262024, 24]-NRT-code) | [i] | ||
| 5 | Linear OOA(4161, 23835, F4, 23, 23) (dual of [(23835, 23), 548044, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |