Information on Result #678650
Linear OA(4234, 65553, F4, 39) (dual of [65553, 65319, 40]-code), using construction X applied to Ce(38) ⊂ Ce(36) based on
- linear OA(4233, 65536, F4, 39) (dual of [65536, 65303, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- 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(41, 17, F4, 1) (dual of [17, 16, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(4235, 65554, F4, 39) (dual of [65554, 65319, 40]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4234, 32776, F4, 2, 39) (dual of [(32776, 2), 65318, 40]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4234, 21851, F4, 3, 39) (dual of [(21851, 3), 65319, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(4234, 3450, F4, 39, 39) (dual of [(3450, 39), 134316, 40]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |