Information on Result #1323759
Linear OA(4209, 16450, F4, 37) (dual of [16450, 16241, 38]-code), using construction X applied to Ce(36) ⊂ Ce(26) based on
- linear OA(4190, 16384, F4, 37) (dual of [16384, 16194, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4141, 16384, F4, 27) (dual of [16384, 16243, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(4209, 16450, F4, 2, 37) (dual of [(16450, 2), 32691, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4209, 16450, F4, 3, 37) (dual of [(16450, 3), 49141, 38]-NRT-code) | [i] | ||
| 3 | Digital (172, 209, 16450)-net over F4 | [i] | ||
| 4 | Linear OOA(4209, 8225, F4, 2, 37) (dual of [(8225, 2), 16241, 38]-NRT-code) | [i] | OOA Folding | |