Information on Result #1534804
Linear OOA(480, 34489, F4, 3, 13) (dual of [(34489, 3), 103387, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(480, 34489, F4, 13) (dual of [34489, 34409, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(480, 65545, F4, 13) (dual of [65545, 65465, 14]-code), using
- (u, u+v)-construction [i] based on
- linear OA(47, 9, F4, 6) (dual of [9, 2, 7]-code), using
- 1 times truncation [i] based on linear OA(48, 10, F4, 7) (dual of [10, 2, 8]-code), using
- repeating each code word 2 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
- repeating each code word 2 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- 1 times truncation [i] based on linear OA(48, 10, F4, 7) (dual of [10, 2, 8]-code), using
- linear OA(473, 65536, F4, 13) (dual of [65536, 65463, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(47, 9, F4, 6) (dual of [9, 2, 7]-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(480, 17244, F4, 15, 13) (dual of [(17244, 15), 258580, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |