Information on Result #678387
Linear OA(4193, 262165, F4, 29) (dual of [262165, 261972, 30]-code), using construction X applied to Ce(28) ⊂ Ce(25) based on
- linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(4194, 262166, F4, 29) (dual of [262166, 261972, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4192, 262164, F4, 28) (dual of [262164, 261972, 29]-code) | [i] | Truncation | |
| 3 | Linear OOA(4193, 131082, F4, 2, 29) (dual of [(131082, 2), 261971, 30]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4193, 87388, F4, 3, 29) (dual of [(87388, 3), 261971, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(4193, 18726, F4, 29, 29) (dual of [(18726, 29), 542861, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |