Information on Result #680448
Linear OA(4197, 1030, F4, 53) (dual of [1030, 833, 54]-code), using construction X applied to Ce(52) ⊂ Ce(50) based on
- linear OA(4196, 1024, F4, 53) (dual of [1024, 828, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(4191, 1024, F4, 51) (dual of [1024, 833, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-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(4197, 515, F4, 2, 53) (dual of [(515, 2), 833, 54]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4197, 343, F4, 3, 53) (dual of [(343, 3), 832, 54]-NRT-code) | [i] | ||