Information on Result #678719
Linear OA(470, 65565, F4, 11) (dual of [65565, 65495, 12]-code), using construction X applied to Ce(10) ⊂ Ce(6) 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(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(45, 29, F4, 3) (dual of [29, 24, 4]-code or 29-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), 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(470, 57066, F4, 2, 11) (dual of [(57066, 2), 114062, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(470, 57066, F4, 3, 11) (dual of [(57066, 3), 171128, 12]-NRT-code) | [i] | ||
| 3 | Digital (59, 70, 57066)-net over F4 | [i] | ||
| 4 | Linear OOA(470, 32782, F4, 2, 11) (dual of [(32782, 2), 65494, 12]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(470, 21855, F4, 3, 11) (dual of [(21855, 3), 65495, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(470, 13112, F4, 11, 11) (dual of [(13112, 11), 144162, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |