Information on Result #1323664
Linear OA(4241, 65624, F4, 37) (dual of [65624, 65383, 38]-code), using construction X applied to Ce(36) ⊂ Ce(25) 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(4153, 65536, F4, 26) (dual of [65536, 65383, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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 OA(4242, 65625, F4, 37) (dual of [65625, 65383, 38]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4243, 65627, F4, 37) (dual of [65627, 65384, 38]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(4241, 32812, F4, 2, 37) (dual of [(32812, 2), 65383, 38]-NRT-code) | [i] | OOA Folding | |