Information on Result #641067
Linear OA(4220, 228, F4, 153) (dual of [228, 8, 154]-code), using juxtaposition based on
- linear OA(455, 63, F4, 41) (dual of [63, 8, 42]-code), using
- 2 times truncation [i] based on linear OA(457, 65, F4, 43) (dual of [65, 8, 44]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- 2 times truncation [i] based on linear OA(457, 65, F4, 43) (dual of [65, 8, 44]-code), using
- 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(4220, 228, F4, 152) (dual of [228, 8, 153]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4220, 228, F4, 151) (dual of [228, 8, 152]-code) | [i] | ||
| 3 | Linear OOA(4220, 114, F4, 2, 153) (dual of [(114, 2), 8, 154]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4220, 76, F4, 3, 153) (dual of [(76, 3), 8, 154]-NRT-code) | [i] | ||