Information on Result #988520
Linear OOA(4925, 1922402, F49, 3, 6) (dual of [(1922402, 3), 5767181, 7]-NRT-code), using OOA 3-folding based on linear OA(4925, 5767206, F49, 6) (dual of [5767206, 5767181, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(4925, 5767207, F49, 6) (dual of [5767207, 5767182, 7]-code), using
- (u, u+v)-construction [i] based on
- linear OA(494, 2402, F49, 3) (dual of [2402, 2398, 4]-code or 2402-cap in PG(3,49)), using
- linear OA(4921, 5764805, F49, 6) (dual of [5764805, 5764784, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(4921, 5764801, F49, 6) (dual of [5764801, 5764780, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(4917, 5764801, F49, 5) (dual of [5764801, 5764784, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(490, 4, F49, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [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(750, 3844804, F7, 3, 6) (dual of [(3844804, 3), 11534362, 7]-NRT-code) | [i] | Trace Code for OOAs | |