Information on Result #1323666
Linear OA(4224, 65621, F4, 34) (dual of [65621, 65397, 35]-code), using construction X applied to Ce(33) ⊂ Ce(22) based on
- linear OA(4201, 65536, F4, 34) (dual of [65536, 65335, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4137, 65536, F4, 23) (dual of [65536, 65399, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(423, 85, F4, 10) (dual of [85, 62, 11]-code), using
- a “GraCyc†code from Grassl’s database [i]
Mode: 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(4224, 65621, F4, 2, 34) (dual of [(65621, 2), 131018, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4224, 65621, F4, 3, 34) (dual of [(65621, 3), 196639, 35]-NRT-code) | [i] | ||
| 3 | Digital (190, 224, 65621)-net over F4 | [i] | ||
| 4 | Linear OOA(4224, 32810, F4, 2, 34) (dual of [(32810, 2), 65396, 35]-NRT-code) | [i] | OOA Folding | |