Information on Result #678455
Linear OA(4107, 262187, F4, 15) (dual of [262187, 262080, 16]-code), using construction X applied to Ce(14) ⊂ Ce(9) based on
- linear OA(4100, 262144, F4, 15) (dual of [262144, 262044, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(464, 262144, F4, 10) (dual of [262144, 262080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(4108, 262188, F4, 15) (dual of [262188, 262080, 16]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4109, 262189, F4, 15) (dual of [262189, 262080, 16]-code) | [i] | ||
| 3 | Linear OA(4109, 262190, F4, 15) (dual of [262190, 262081, 16]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OOA(4107, 131093, F4, 2, 15) (dual of [(131093, 2), 262079, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4107, 87395, F4, 3, 15) (dual of [(87395, 3), 262078, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(4107, 37455, F4, 15, 15) (dual of [(37455, 15), 561718, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |