Information on Result #678745
Linear OA(472, 65575, F4, 11) (dual of [65575, 65503, 12]-code), using construction X applied to Ce(10) ⊂ Ce(5) based on
- linear OA(465, 65536, F4, 11) (dual of [65536, 65471, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(433, 65536, F4, 6) (dual of [65536, 65503, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(47, 39, F4, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-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(472, 65575, F4, 2, 11) (dual of [(65575, 2), 131078, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(472, 65575, F4, 3, 11) (dual of [(65575, 3), 196653, 12]-NRT-code) | [i] | ||
| 3 | Digital (61, 72, 65575)-net over F4 | [i] | ||
| 4 | Linear OOA(472, 32787, F4, 2, 11) (dual of [(32787, 2), 65502, 12]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(472, 21858, F4, 3, 11) (dual of [(21858, 3), 65502, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(472, 13114, F4, 11, 11) (dual of [(13114, 11), 144182, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |