Information on Result #680940
Linear OA(4226, 1100, F4, 52) (dual of [1100, 874, 53]-code), using construction X applied to Ce(52) ⊂ Ce(38) based on
- linear OA(4196, 1024, F4, 53) (dual of [1024, 828, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(4146, 1024, F4, 39) (dual of [1024, 878, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(430, 76, F4, 12) (dual of [76, 46, 13]-code), using
- trace code [i] based on linear OA(1615, 38, F16, 12) (dual of [38, 23, 13]-code), using
- extended algebraic-geometric code AGe(F,25P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- trace code [i] based on linear OA(1615, 38, F16, 12) (dual of [38, 23, 13]-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(4226, 550, F4, 2, 52) (dual of [(550, 2), 874, 53]-NRT-code) | [i] | OOA Folding | |