Information on Result #873268
Linear OOA(4945, 2883581, F49, 2, 10) (dual of [(2883581, 2), 5767117, 11]-NRT-code), using OOA 2-folding based on linear OA(4945, 5767162, F49, 10) (dual of [5767162, 5767117, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(4945, 5767163, F49, 10) (dual of [5767163, 5767118, 11]-code), using
- (u, u+v)-construction [i] based on
- linear OA(497, 2353, F49, 5) (dual of [2353, 2346, 6]-code), using
- linear OA(4938, 5764810, F49, 10) (dual of [5764810, 5764772, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(4937, 5764801, F49, 10) (dual of [5764801, 5764764, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(4929, 5764801, F49, 8) (dual of [5764801, 5764772, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(491, 9, F49, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- (u, u+v)-construction [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(790, 5767162, F7, 2, 10) (dual of [(5767162, 2), 11534234, 11]-NRT-code) | [i] | Trace Code for OOAs | |