Information on Result #679884
Linear OA(4243, 4186, F4, 47) (dual of [4186, 3943, 48]-code), using construction X applied to Ce(46) ⊂ Ce(33) based on
- linear OA(4211, 4096, F4, 47) (dual of [4096, 3885, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(4151, 4096, F4, 34) (dual of [4096, 3945, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(432, 90, F4, 12) (dual of [90, 58, 13]-code), using
- trace code [i] based on linear OA(1616, 45, F16, 12) (dual of [45, 29, 13]-code), using
- extended algebraic-geometric code AGe(F,32P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- trace code [i] based on linear OA(1616, 45, F16, 12) (dual of [45, 29, 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(4244, 4187, F4, 47) (dual of [4187, 3943, 48]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4243, 2093, F4, 2, 47) (dual of [(2093, 2), 3943, 48]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4243, 1395, F4, 3, 47) (dual of [(1395, 3), 3942, 48]-NRT-code) | [i] | ||