Information on Result #988523
Linear OOA(4929, 2882405, F49, 3, 6) (dual of [(2882405, 3), 8647186, 7]-NRT-code), using OOA 2-folding based on linear OOA(4929, 5764810, F49, 2, 6) (dual of [(5764810, 2), 11529591, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(497, 5769603, F49, 2, 3) (dual of [(5769603, 2), 11539199, 4]-NRT-code), using
- linear OOA(4922, 2882405, F49, 2, 6) (dual of [(2882405, 2), 5764788, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4922, 5764810, F49, 6) (dual of [5764810, 5764788, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [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(4913, 5764801, F49, 4) (dual of [5764801, 5764788, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(5) ⊂ Ce(3) [i] based on
- OOA 2-folding [i] based on linear OA(4922, 5764810, F49, 6) (dual of [5764810, 5764788, 7]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(758, 5764810, F7, 3, 6) (dual of [(5764810, 3), 17294372, 7]-NRT-code) | [i] | Trace Code for OOAs | |