Information on Result #896205
Linear OOA(5130, 4194311, F5, 2, 16) (dual of [(4194311, 2), 8388492, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(59, 10, F5, 2, 8) (dual of [(10, 2), 11, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,11P) [i] based on function field F/F5 with g(F) = 1 and N(F) ≥ 10, using
- linear OOA(5121, 4194301, F5, 2, 16) (dual of [(4194301, 2), 8388481, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5121, 8388602, F5, 16) (dual of [8388602, 8388481, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- OOA 2-folding [i] based on linear OA(5121, 8388602, F5, 16) (dual of [8388602, 8388481, 17]-code), using
Mode: Constructive and 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(5130, 4194311, F5, 3, 16) (dual of [(4194311, 3), 12582803, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (114, 130, 4194311)-net over F5 | [i] | ||
| 3 | Linear OOA(5130, 1048577, F5, 18, 16) (dual of [(1048577, 18), 18874256, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |