Information on Result #962013
Linear OOA(4115, 5473, F4, 3, 21) (dual of [(5473, 3), 16304, 22]-NRT-code), using OOA 3-folding based on linear OA(4115, 16419, F4, 21) (dual of [16419, 16304, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4115, 16420, F4, 21) (dual of [16420, 16305, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(478, 16384, F4, 15) (dual of [16384, 16306, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
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 OOA(4115, 5473, F4, 3, 20) (dual of [(5473, 3), 16304, 21]-NRT-code) | [i] | Strength Reduction for OOAs | |