Information on Result #962831
Linear OOA(4157, 5473, F4, 3, 29) (dual of [(5473, 3), 16262, 30]-NRT-code), using OOA 3-folding based on linear OA(4157, 16419, F4, 29) (dual of [16419, 16262, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4157, 16420, F4, 29) (dual of [16420, 16263, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- linear OA(4148, 16384, F4, 29) (dual of [16384, 16236, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4120, 16384, F4, 23) (dual of [16384, 16264, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [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(4157, 5473, F4, 3, 28) (dual of [(5473, 3), 16262, 29]-NRT-code) | [i] | Strength Reduction for OOAs | |