Information on Result #905023
Linear OOA(12872, 4194493, F128, 2, 16) (dual of [(4194493, 2), 8388914, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12811, 192, F128, 2, 8) (dual of [(192, 2), 373, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,375P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OOA(12861, 4194301, F128, 2, 16) (dual of [(4194301, 2), 8388541, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12861, 8388602, F128, 16) (dual of [8388602, 8388541, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(12861, large, F128, 16) (dual of [large, large−61, 17]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(12861, large, F128, 16) (dual of [large, large−61, 17]-code), using
- OOA 2-folding [i] based on linear OA(12861, 8388602, F128, 16) (dual of [8388602, 8388541, 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(12872, 2097246, F128, 4, 16) (dual of [(2097246, 4), 8388912, 17]-NRT-code) | [i] | OOA Folding | |