Information on Result #641068
Linear OA(4221, 229, F4, 154) (dual of [229, 8, 155]-code), using juxtaposition based on
- linear OA(456, 64, F4, 42) (dual of [64, 8, 43]-code), using
- an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4157, 165, F4, 111) (dual of [165, 8, 112]-code), using
- concatenation of two codes [i] based on
- linear OA(1629, 33, F16, 27) (dual of [33, 4, 28]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
- linear OA(1629, 33, F16, 27) (dual of [33, 4, 28]-code), using
- concatenation of two codes [i] based on
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4221, 229, F4, 153) (dual of [229, 8, 154]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4221, 229, F4, 152) (dual of [229, 8, 153]-code) | [i] | ||