Information on Result #678664
Linear OA(4138, 65553, F4, 23) (dual of [65553, 65415, 24]-code), using construction X applied to Ce(22) ⊂ Ce(20) based on
- linear OA(4137, 65536, F4, 23) (dual of [65536, 65399, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(4121, 65536, F4, 21) (dual of [65536, 65415, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(4139, 65554, F4, 23) (dual of [65554, 65415, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4138, 32776, F4, 2, 23) (dual of [(32776, 2), 65414, 24]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4138, 21851, F4, 3, 23) (dual of [(21851, 3), 65415, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(4138, 5959, F4, 23, 23) (dual of [(5959, 23), 136919, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |