Information on Result #1540838
Linear OOA(4194, 3206763, F4, 3, 22) (dual of [(3206763, 3), 9620095, 23]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4194, 3206763, F4, 2, 22) (dual of [(3206763, 2), 6413332, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4194, 4194301, F4, 2, 22) (dual of [(4194301, 2), 8388408, 23]-NRT-code), using
- 41 times duplication [i] based on linear OOA(4193, 4194301, F4, 2, 22) (dual of [(4194301, 2), 8388409, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4193, 8388602, F4, 22) (dual of [8388602, 8388409, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- OOA 2-folding [i] based on linear OA(4193, 8388602, F4, 22) (dual of [8388602, 8388409, 23]-code), using
- 41 times duplication [i] based on linear OOA(4193, 4194301, F4, 2, 22) (dual of [(4194301, 2), 8388409, 23]-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(4194, 801690, F4, 27, 22) (dual of [(801690, 27), 21645436, 23]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |