Information on Result #678678
Linear OA(460, 65555, F4, 10) (dual of [65555, 65495, 11]-code), using construction X applied to Ce(9) ⊂ Ce(6) based on
- linear OA(457, 65536, F4, 10) (dual of [65536, 65479, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(441, 65536, F4, 7) (dual of [65536, 65495, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(460, 34569, F4, 2, 10) (dual of [(34569, 2), 69078, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(460, 34569, F4, 3, 10) (dual of [(34569, 3), 103647, 11]-NRT-code) | [i] | ||
| 3 | Digital (50, 60, 34569)-net over F4 | [i] | ||
| 4 | Linear OOA(460, 32777, F4, 2, 10) (dual of [(32777, 2), 65494, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(460, 21851, F4, 3, 10) (dual of [(21851, 3), 65493, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(460, 13111, F4, 10, 10) (dual of [(13111, 10), 131050, 11]-NRT-code) | [i] | OA Folding and Stacking | |