Information on Result #1323553
Linear OA(4145, 262189, F4, 21) (dual of [262189, 262044, 22]-code), using construction X applied to Ce(20) ⊂ Ce(14) based on
- linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(4100, 262144, F4, 15) (dual of [262144, 262044, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(49, 45, F4, 5) (dual of [45, 36, 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(4148, 262193, F4, 21) (dual of [262193, 262045, 22]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(4145, 131094, F4, 2, 21) (dual of [(131094, 2), 262043, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4145, 87396, F4, 3, 21) (dual of [(87396, 3), 262043, 22]-NRT-code) | [i] | ||