Information on Result #677956
Linear OA(481, 4194325, F4, 10) (dual of [4194325, 4194244, 11]-code), using construction X applied to Ce(9) ⊂ Ce(6) based on
- linear OA(478, 4194304, F4, 10) (dual of [4194304, 4194226, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(456, 4194304, F4, 7) (dual of [4194304, 4194248, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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 OOA(481, 2097162, F4, 2, 10) (dual of [(2097162, 2), 4194243, 11]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(481, 1398108, F4, 3, 10) (dual of [(1398108, 3), 4194243, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(481, 838865, F4, 10, 10) (dual of [(838865, 10), 8388569, 11]-NRT-code) | [i] | OA Folding and Stacking | |