Information on Result #1323621
Linear OA(4170, 65585, F4, 27) (dual of [65585, 65415, 28]-code), using construction X applied to Ce(26) ⊂ Ce(20) based on
- 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(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(49, 49, F4, 5) (dual of [49, 40, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-code), using
- a “DaH†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-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(4173, 65589, F4, 27) (dual of [65589, 65416, 28]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(4174, 65591, F4, 27) (dual of [65591, 65417, 28]-code) | [i] | ||
| 3 | Linear OOA(4170, 32792, F4, 2, 27) (dual of [(32792, 2), 65414, 28]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4170, 21861, F4, 3, 27) (dual of [(21861, 3), 65413, 28]-NRT-code) | [i] | ||