Information on Result #692862
Linear OA(16122, 278, F16, 68) (dual of [278, 156, 69]-code), using construction X applied to Ce(67) ⊂ Ce(57) 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(16100, 256, F16, 58) (dual of [256, 156, 59]-code), using an extension Ce(57) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(1610, 22, F16, 9) (dual of [22, 12, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(1610, 24, F16, 9) (dual of [24, 14, 10]-code), using
- extended algebraic-geometric code AGe(F,14P) [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(1610, 24, F16, 9) (dual of [24, 14, 10]-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(16121, 277, F16, 67) (dual of [277, 156, 68]-code) | [i] | Truncation | |
| 2 | Linear OA(16120, 276, F16, 66) (dual of [276, 156, 67]-code) | [i] | ||
| 3 | Linear OA(16119, 275, F16, 65) (dual of [275, 156, 66]-code) | [i] | ||
| 4 | Linear OOA(16122, 139, F16, 2, 68) (dual of [(139, 2), 156, 69]-NRT-code) | [i] | OOA Folding | |