Information on Result #692829
Linear OA(16121, 275, F16, 68) (dual of [275, 154, 69]-code), using construction X applied to Ce(67) ⊂ Ce(58) based on
- linear OA(16112, 256, F16, 68) (dual of [256, 144, 69]-code), using an extension Ce(67) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
- linear OA(16102, 256, F16, 59) (dual of [256, 154, 60]-code), using an extension Ce(58) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(169, 19, F16, 8) (dual of [19, 10, 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(16120, 274, F16, 67) (dual of [274, 154, 68]-code) | [i] | Truncation | |
| 2 | Linear OOA(16121, 137, F16, 2, 68) (dual of [(137, 2), 153, 69]-NRT-code) | [i] | OOA Folding | |