Information on Result #677925
Linear OA(4247, 4194330, F4, 30) (dual of [4194330, 4194083, 31]-code), using construction X applied to Ce(29) ⊂ Ce(26) based on
- linear OA(4243, 4194304, F4, 30) (dual of [4194304, 4194061, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4221, 4194304, F4, 27) (dual of [4194304, 4194083, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(44, 26, F4, 2) (dual of [26, 22, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(44, 85, F4, 2) (dual of [85, 81, 3]-code), using
- Hamming code H(4,4) [i]
- discarding factors / shortening the dual code based on linear OA(44, 85, F4, 2) (dual of [85, 81, 3]-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 OOA(4247, 2097165, F4, 2, 30) (dual of [(2097165, 2), 4194083, 31]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4247, 1398110, F4, 3, 30) (dual of [(1398110, 3), 4194083, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(4247, 279622, F4, 30, 30) (dual of [(279622, 30), 8388413, 31]-NRT-code) | [i] | OA Folding and Stacking | |