Information on Result #701579
Linear OA(885, 97, F8, 58) (dual of [97, 12, 59]-code), using construction X applied to C([0,42]) ⊂ C({0,1,2,3,4,5,6,7,9,11,12,13,14,17,18,21,25,26,27,33,36}) based on
- linear OA(870, 73, F8, 63) (dual of [73, 3, 64]-code), using the expurgated narrow-sense BCH-code C(I) with length 73 | 83−1, defining interval I = [0,42], and minimum distance d ≥ |{−20,−19,…,42}|+1 = 64 (BCH-bound) [i]
- linear OA(861, 73, F8, 45) (dual of [73, 12, 46]-code), using the cyclic code C(A) with length 73 | 83−1, defining set A = {0,1,2,3,4,5,6,7,9,11,12,13,14,17,18,21,25,26,27,33,36}, and minimum distance d ≥ |{−11,−10,…,33}|+1 = 46 (BCH-bound) [i]
- linear OA(815, 24, F8, 12) (dual of [24, 9, 13]-code), using
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, 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.
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(885, 97, F8, 57) (dual of [97, 12, 58]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(885, 97, F8, 56) (dual of [97, 12, 57]-code) | [i] | ||
| 3 | Linear OA(884, 96, F8, 57) (dual of [96, 12, 58]-code) | [i] | Truncation | |
| 4 | Linear OA(883, 95, F8, 56) (dual of [95, 12, 57]-code) | [i] | ||
| 5 | Linear OOA(885, 48, F8, 2, 58) (dual of [(48, 2), 11, 59]-NRT-code) | [i] | OOA Folding | |