Information on Result #1323751
Linear OA(4251, 16450, F4, 45) (dual of [16450, 16199, 46]-code), using construction X applied to Ce(44) ⊂ Ce(34) based on
- linear OA(4232, 16384, F4, 45) (dual of [16384, 16152, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4183, 16384, F4, 35) (dual of [16384, 16201, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(419, 66, F4, 9) (dual of [66, 47, 10]-code), using
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(4251, 16450, F4, 2, 45) (dual of [(16450, 2), 32649, 46]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4251, 16450, F4, 3, 45) (dual of [(16450, 3), 49099, 46]-NRT-code) | [i] | ||
| 3 | Digital (206, 251, 16450)-net over F4 | [i] | ||
| 4 | Linear OOA(4251, 8225, F4, 2, 45) (dual of [(8225, 2), 16199, 46]-NRT-code) | [i] | OOA Folding | |