Information on Result #678619
Linear OA(4177, 65544, F4, 30) (dual of [65544, 65367, 31]-code), using construction X applied to Ce(29) ⊂ Ce(28) 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(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(40, 8, F4, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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 OA(4178, 65545, F4, 30) (dual of [65545, 65367, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4177, 32772, F4, 2, 30) (dual of [(32772, 2), 65367, 31]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4177, 21848, F4, 3, 30) (dual of [(21848, 3), 65367, 31]-NRT-code) | [i] | ||