Information on Result #678397
Linear OA(4112, 262165, F4, 17) (dual of [262165, 262053, 18]-code), using construction X applied to Ce(16) ⊂ Ce(13) based on
- 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 [i]
- linear OA(491, 262144, F4, 14) (dual of [262144, 262053, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
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(4113, 262166, F4, 17) (dual of [262166, 262053, 18]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4112, 131082, F4, 2, 17) (dual of [(131082, 2), 262052, 18]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4112, 87388, F4, 3, 17) (dual of [(87388, 3), 262052, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(4112, 32770, F4, 17, 17) (dual of [(32770, 17), 556978, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |