Information on Result #905113
Linear OOA(12853, 8386, F128, 2, 20) (dual of [(8386, 2), 16719, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12813, 192, F128, 2, 10) (dual of [(192, 2), 371, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,373P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OOA(12840, 8194, F128, 2, 20) (dual of [(8194, 2), 16348, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12840, 16388, F128, 20) (dual of [16388, 16348, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(12840, 16389, F128, 20) (dual of [16389, 16349, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(12835, 16384, F128, 18) (dual of [16384, 16349, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(12840, 16389, F128, 20) (dual of [16389, 16349, 21]-code), using
- OOA 2-folding [i] based on linear OA(12840, 16388, F128, 20) (dual of [16388, 16348, 21]-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(12853, 4193, F128, 4, 20) (dual of [(4193, 4), 16719, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12853, 1677, F128, 22, 20) (dual of [(1677, 22), 36841, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |