Information on Result #737218
Linear OA(4238, 65608, F4, 37) (dual of [65608, 65370, 38]-code), using construction X applied to Ce(36) ⊂ Ce(26) based on
- linear OA(4217, 65536, F4, 37) (dual of [65536, 65319, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4161, 65536, F4, 27) (dual of [65536, 65375, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(421, 72, F4, 9) (dual of [72, 51, 10]-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(4238, 55300, F4, 2, 37) (dual of [(55300, 2), 110362, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4238, 55300, F4, 3, 37) (dual of [(55300, 3), 165662, 38]-NRT-code) | [i] | ||
| 3 | Digital (201, 238, 55300)-net over F4 | [i] | ||
| 4 | Linear OOA(4238, 32804, F4, 2, 37) (dual of [(32804, 2), 65370, 38]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4238, 21869, F4, 3, 37) (dual of [(21869, 3), 65369, 38]-NRT-code) | [i] | ||