Information on Result #1323620
Linear OA(4178, 65585, F4, 28) (dual of [65585, 65407, 29]-code), using construction X applied to Ce(28) ⊂ Ce(21) based on
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4129, 65536, F4, 22) (dual of [65536, 65407, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(4180, 65588, F4, 28) (dual of [65588, 65408, 29]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(4181, 65590, F4, 28) (dual of [65590, 65409, 29]-code) | [i] | ||
| 3 | Linear OOA(4178, 32792, F4, 2, 28) (dual of [(32792, 2), 65406, 29]-NRT-code) | [i] | OOA Folding | |