Information on Result #680455
Linear OA(4171, 1029, F4, 46) (dual of [1029, 858, 47]-code), using construction X applied to Ce(45) ⊂ Ce(44) based on
- linear OA(4171, 1024, F4, 46) (dual of [1024, 853, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(4166, 1024, F4, 45) (dual of [1024, 858, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(40, 5, F4, 0) (dual of [5, 5, 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 OOA(4171, 514, F4, 2, 46) (dual of [(514, 2), 857, 47]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4171, 343, F4, 3, 46) (dual of [(343, 3), 858, 47]-NRT-code) | [i] | ||