Information on Result #1611634
Linear OOA(3234, 2505950, F3, 4, 23) (dual of [(2505950, 4), 10023566, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3234, 2505950, F3, 3, 23) (dual of [(2505950, 3), 7517616, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3234, 2796203, F3, 3, 23) (dual of [(2796203, 3), 8388375, 24]-NRT-code), using
- 32 times duplication [i] based on linear OOA(3232, 2796203, F3, 3, 23) (dual of [(2796203, 3), 8388377, 24]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(3226, 2796201, F3, 3, 23) (dual of [(2796201, 3), 8388377, 24]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3226, large, F3, 23) (dual of [large, large−226, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- OOA 3-folding [i] based on linear OA(3226, large, F3, 23) (dual of [large, large−226, 24]-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(3226, 2796201, F3, 3, 23) (dual of [(2796201, 3), 8388377, 24]-NRT-code), using
- 32 times duplication [i] based on linear OOA(3232, 2796203, F3, 3, 23) (dual of [(2796203, 3), 8388377, 24]-NRT-code), using
Mode: 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(3234, 835316, F3, 28, 23) (dual of [(835316, 28), 23388614, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |