Information on Result #679038
Linear OA(4134, 16391, F4, 26) (dual of [16391, 16257, 27]-code), using construction X applied to Ce(25) ⊂ Ce(24) based on
- linear OA(4134, 16384, F4, 26) (dual of [16384, 16250, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(4127, 16384, F4, 25) (dual of [16384, 16257, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(40, 7, F4, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(4135, 16392, F4, 26) (dual of [16392, 16257, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4134, 8195, F4, 2, 26) (dual of [(8195, 2), 16256, 27]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4134, 5463, F4, 3, 26) (dual of [(5463, 3), 16255, 27]-NRT-code) | [i] | ||