Information on Result #1548108
Linear OOA(581, 14902, F5, 3, 16) (dual of [(14902, 3), 44625, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(581, 14902, F5, 16) (dual of [14902, 14821, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(581, 15634, F5, 16) (dual of [15634, 15553, 17]-code), using
- (u, u+v)-construction [i] based on
- linear OA(58, 9, F5, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,5)), using
- dual of repetition code with length 9 [i]
- linear OA(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(58, 9, F5, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,5)), 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(581, 4967, F5, 21, 16) (dual of [(4967, 21), 104226, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |