Information on Result #899723
Linear OOA(2577, 195380, F25, 2, 17) (dual of [(195380, 2), 390683, 18]-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(2565, 195314, F25, 2, 17) (dual of [(195314, 2), 390563, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2565, 390628, F25, 17) (dual of [390628, 390563, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2565, 390629, F25, 17) (dual of [390629, 390564, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(2565, 390625, F25, 17) (dual of [390625, 390560, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 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(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(16) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(2565, 390629, F25, 17) (dual of [390629, 390564, 18]-code), using
- OOA 2-folding [i] based on linear OA(2565, 390628, F25, 17) (dual of [390628, 390563, 18]-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(2577, 48844, F25, 18, 17) (dual of [(48844, 18), 879115, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |