Information on Result #692962
Linear OA(16129, 291, F16, 69) (dual of [291, 162, 70]-code), using construction X applied to Ce(68) ⊂ Ce(54) 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(1694, 256, F16, 55) (dual of [256, 162, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(1616, 35, F16, 13) (dual of [35, 19, 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 OOA(16129, 145, F16, 2, 69) (dual of [(145, 2), 161, 70]-NRT-code) | [i] | OOA Folding | |