Information on Result #2270308
Linear OA(468, 262166, F4, 10) (dual of [262166, 262098, 11]-code), using 1 times code embedding in larger space based on linear OA(467, 262165, F4, 10) (dual of [262165, 262098, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(464, 262144, F4, 10) (dual of [262144, 262080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(446, 262144, F4, 7) (dual of [262144, 262098, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, 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(468, 138294, F4, 2, 10) (dual of [(138294, 2), 276520, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(468, 138294, F4, 3, 10) (dual of [(138294, 3), 414814, 11]-NRT-code) | [i] | ||
| 3 | Digital (58, 68, 138294)-net over F4 | [i] | ||
| 4 | Linear OOA(468, 131083, F4, 2, 10) (dual of [(131083, 2), 262098, 11]-NRT-code) | [i] | OOA Folding | |