Information on Result #680941
Linear OA(4221, 1100, F4, 51) (dual of [1100, 879, 52]-code), using construction X applied to Ce(50) ⊂ Ce(37) based on
- linear OA(4191, 1024, F4, 51) (dual of [1024, 833, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(4141, 1024, F4, 38) (dual of [1024, 883, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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 OA(4222, 1101, F4, 51) (dual of [1101, 879, 52]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4221, 550, F4, 2, 51) (dual of [(550, 2), 879, 52]-NRT-code) | [i] | OOA Folding | |