Information on Result #631249
Linear OA(3158, 168, F3, 95) (dual of [168, 10, 96]-code), using concatenation of two codes based on
- linear OA(937, 42, F9, 31) (dual of [42, 5, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([1,15]) [i] based on
- linear OA(937, 41, F9, 31) (dual of [41, 4, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 41 | 94−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(936, 41, F9, 30) (dual of [41, 5, 31]-code), using the narrow-sense BCH-code C(I) with length 41 | 94−1, defining interval I = [1,15], and minimum distance d ≥ |{−17,−13,−9,…,17}|+1 = 31 (BCH-bound) [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to C([0,15]) ⊂ C([1,15]) [i] based on
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [i]
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 OOA(3158, 84, F3, 2, 95) (dual of [(84, 2), 10, 96]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3158, 56, F3, 3, 95) (dual of [(56, 3), 10, 96]-NRT-code) | [i] | ||