Information on Result #899670
Linear OOA(2573, 195380, F25, 2, 16) (dual of [(195380, 2), 390687, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2512, 66, F25, 2, 8) (dual of [(66, 2), 120, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,123P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2561, 195314, F25, 2, 16) (dual of [(195314, 2), 390567, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2561, 390628, F25, 16) (dual of [390628, 390567, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, 390629, F25, 16) (dual of [390629, 390568, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(2561, 390625, F25, 16) (dual of [390625, 390564, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2557, 390625, F25, 15) (dual of [390625, 390568, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(2561, 390629, F25, 16) (dual of [390629, 390568, 17]-code), using
- OOA 2-folding [i] based on linear OA(2561, 390628, F25, 16) (dual of [390628, 390567, 17]-code), using
Mode: Constructive and 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(2573, 48844, F25, 18, 16) (dual of [(48844, 18), 879119, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |