Information on Result #680932
Linear OA(4251, 1100, F4, 59) (dual of [1100, 849, 60]-code), using construction X applied to Ce(58) ⊂ Ce(45) based on
- linear OA(4221, 1024, F4, 59) (dual of [1024, 803, 60]-code), using an extension Ce(58) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(4171, 1024, F4, 46) (dual of [1024, 853, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [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(4252, 1101, F4, 59) (dual of [1101, 849, 60]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4251, 550, F4, 2, 59) (dual of [(550, 2), 849, 60]-NRT-code) | [i] | OOA Folding | |