Information on Result #1647337
Linear OOA(3190, 11920, F3, 5, 29) (dual of [(11920, 5), 59410, 30]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3190, 11920, F3, 29) (dual of [11920, 11730, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(3190, 19703, F3, 29) (dual of [19703, 19513, 30]-code), using
- (u, u+v)-construction [i] based on
- linear OA(318, 20, F3, 14) (dual of [20, 2, 15]-code), using
- repeating each code word 5 times [i] based on linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [i]
- repeating each code word 5 times [i] based on linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- linear OA(3172, 19683, F3, 29) (dual of [19683, 19511, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(318, 20, F3, 14) (dual of [20, 2, 15]-code), using
- (u, u+v)-construction [i] based on
Mode: 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(3190, 3973, F3, 35, 29) (dual of [(3973, 35), 138865, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |