Information on Result #692922
Linear OA(16126, 284, F16, 69) (dual of [284, 158, 70]-code), using construction X applied to Ce(68) ⊂ Ce(56) based on
- linear OA(16113, 256, F16, 69) (dual of [256, 143, 70]-code), using an extension Ce(68) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(1698, 256, F16, 57) (dual of [256, 158, 58]-code), using an extension Ce(56) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(1613, 28, F16, 11) (dual of [28, 15, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(1613, 33, F16, 11) (dual of [33, 20, 12]-code), using
- extended algebraic-geometric code AGe(F,21P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1613, 33, F16, 11) (dual of [33, 20, 12]-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(16126, 142, F16, 2, 69) (dual of [(142, 2), 158, 70]-NRT-code) | [i] | OOA Folding | |