Information on Result #899679
Linear OOA(2587, 4194353, F25, 2, 16) (dual of [(4194353, 2), 8388619, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2511, 52, F25, 2, 8) (dual of [(52, 2), 93, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,95P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- linear OOA(2576, 4194301, F25, 2, 16) (dual of [(4194301, 2), 8388526, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2576, 8388602, F25, 16) (dual of [8388602, 8388526, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2576, large, F25, 16) (dual of [large, large−76, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(2576, large, F25, 16) (dual of [large, large−76, 17]-code), using
- OOA 2-folding [i] based on linear OA(2576, 8388602, F25, 16) (dual of [8388602, 8388526, 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(2587, 1048588, F25, 18, 16) (dual of [(1048588, 18), 18874497, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |