Information on Result #1323662
Linear OA(4249, 65624, F4, 38) (dual of [65624, 65375, 39]-code), using construction X applied to Ce(37) ⊂ Ce(26) based on
- linear OA(4225, 65536, F4, 38) (dual of [65536, 65311, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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(424, 88, F4, 10) (dual of [88, 64, 11]-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(4249, 65624, F4, 2, 38) (dual of [(65624, 2), 130999, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4249, 65624, F4, 3, 38) (dual of [(65624, 3), 196623, 39]-NRT-code) | [i] | ||
| 3 | Digital (211, 249, 65624)-net over F4 | [i] | ||
| 4 | Linear OA(4250, 65626, F4, 38) (dual of [65626, 65376, 39]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OA(4251, 65628, F4, 38) (dual of [65628, 65377, 39]-code) | [i] | ||
| 6 | Linear OA(4252, 65630, F4, 38) (dual of [65630, 65378, 39]-code) | [i] | ||
| 7 | Linear OOA(4249, 32812, F4, 2, 38) (dual of [(32812, 2), 65375, 39]-NRT-code) | [i] | OOA Folding | |