Information on Result #1651035
Linear OOA(3233, 4194335, F3, 5, 21) (dual of [(4194335, 5), 20971442, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3233, 4194335, F3, 2, 21) (dual of [(4194335, 2), 8388437, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(323, 34, F3, 2, 10) (dual of [(34, 2), 45, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(323, 68, F3, 10) (dual of [68, 45, 11]-code), using
- a “Glo†code from Brouwer’s database [i]
- OOA 2-folding [i] based on linear OA(323, 68, F3, 10) (dual of [68, 45, 11]-code), using
- linear OOA(3210, 4194301, F3, 2, 21) (dual of [(4194301, 2), 8388392, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3210, 8388602, F3, 21) (dual of [8388602, 8388392, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- OOA 2-folding [i] based on linear OA(3210, 8388602, F3, 21) (dual of [8388602, 8388392, 22]-code), using
- linear OOA(323, 34, F3, 2, 10) (dual of [(34, 2), 45, 11]-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(3233, 2097167, F3, 25, 21) (dual of [(2097167, 25), 52428942, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |