Information on Result #1538811
Linear OOA(4165, 131082, F4, 3, 24) (dual of [(131082, 3), 393081, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4165, 131082, F4, 2, 24) (dual of [(131082, 2), 261999, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4165, 262164, F4, 24) (dual of [262164, 261999, 25]-code), using
- 1 times truncation [i] based on linear OA(4166, 262165, F4, 25) (dual of [262165, 261999, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(4145, 262144, F4, 22) (dual of [262144, 261999, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- 1 times truncation [i] based on linear OA(4166, 262165, F4, 25) (dual of [262165, 261999, 26]-code), using
Mode: 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 OOA(4165, 32770, F4, 27, 24) (dual of [(32770, 27), 884625, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |