Information on Result #692877
Linear OA(1696, 277, F16, 51) (dual of [277, 181, 52]-code), using construction X applied to Ce(50) ⊂ Ce(41) based on
- linear OA(1687, 256, F16, 51) (dual of [256, 169, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(1675, 256, F16, 42) (dual of [256, 181, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(169, 21, F16, 8) (dual of [21, 12, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(169, 24, F16, 8) (dual of [24, 15, 9]-code), using
- extended algebraic-geometric code AGe(F,15P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(169, 24, F16, 8) (dual of [24, 15, 9]-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 OA(1695, 276, F16, 50) (dual of [276, 181, 51]-code) | [i] | Truncation | |
| 2 | Linear OA(1694, 275, F16, 49) (dual of [275, 181, 50]-code) | [i] | ||
| 3 | Linear OOA(1696, 138, F16, 2, 51) (dual of [(138, 2), 180, 52]-NRT-code) | [i] | OOA Folding | |