Information on Result #714874
Linear OA(883, 97, F8, 55) (dual of [97, 14, 56]-code), using construction XX applied to C1 = C([10,54]), C2 = C([0,44]), C3 = C1 + C2 = C([10,44]), and C∩ = C1 ∩ C2 = C([0,54]) based on
- linear OA(855, 63, F8, 45) (dual of [63, 8, 46]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {10,11,…,54}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(855, 63, F8, 45) (dual of [63, 8, 46]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(861, 63, F8, 55) (dual of [63, 2, 56]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,54], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(847, 63, F8, 35) (dual of [63, 16, 36]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {10,11,…,44}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(811, 17, F8, 9) (dual of [17, 6, 10]-code), using
- extended algebraic-geometric code AGe(F,7P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- linear OA(811, 17, F8, 9) (dual of [17, 6, 10]-code) (see above)
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(884, 98, F8, 55) (dual of [98, 14, 56]-code) | [i] | Code Embedding in Larger Space | |