Information on Result #678658
Linear OA(4180, 65555, F4, 30) (dual of [65555, 65375, 31]-code), using construction X applied to Ce(29) ⊂ Ce(26) based on
- linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4161, 65536, F4, 27) (dual of [65536, 65375, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(43, 19, F4, 2) (dual of [19, 16, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 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(4180, 32777, F4, 2, 30) (dual of [(32777, 2), 65374, 31]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4180, 21851, F4, 3, 30) (dual of [(21851, 3), 65373, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(4180, 4370, F4, 30, 30) (dual of [(4370, 30), 130920, 31]-NRT-code) | [i] | OA Folding and Stacking | |