Information on Result #679175
Linear OA(478, 16419, F4, 14) (dual of [16419, 16341, 15]-code), using construction X applied to Ce(13) ⊂ Ce(8) based on
- linear OA(471, 16384, F4, 14) (dual of [16384, 16313, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(443, 16384, F4, 9) (dual of [16384, 16341, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
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 OA(479, 16420, F4, 14) (dual of [16420, 16341, 15]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(480, 16421, F4, 14) (dual of [16421, 16341, 15]-code) | [i] | ||
| 3 | Linear OA(480, 16422, F4, 14) (dual of [16422, 16342, 15]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OOA(478, 8209, F4, 2, 14) (dual of [(8209, 2), 16340, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(478, 5473, F4, 3, 14) (dual of [(5473, 3), 16341, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(478, 2345, F4, 14, 14) (dual of [(2345, 14), 32752, 15]-NRT-code) | [i] | OA Folding and Stacking | |