Information on Result #692963
Linear OA(16128, 292, F16, 68) (dual of [292, 164, 69]-code), using construction X applied to Ce(67) ⊂ Ce(53) 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(1692, 256, F16, 54) (dual of [256, 164, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(1616, 36, F16, 13) (dual of [36, 20, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(1616, 38, F16, 13) (dual of [38, 22, 14]-code), using
- extended algebraic-geometric code AGe(F,24P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(1616, 38, F16, 13) (dual of [38, 22, 14]-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(16127, 291, F16, 67) (dual of [291, 164, 68]-code) | [i] | Truncation | |
| 2 | Linear OA(16126, 290, F16, 66) (dual of [290, 164, 67]-code) | [i] | ||
| 3 | Linear OOA(16128, 146, F16, 2, 68) (dual of [(146, 2), 164, 69]-NRT-code) | [i] | OOA Folding | |