Information on Result #731783
Linear OA(8133, 142, F8, 100) (dual of [142, 9, 101]-code), using juxtaposition based on
- linear OA(854, 63, F8, 44) (dual of [63, 9, 45]-code), using
- the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(870, 79, F8, 55) (dual of [79, 9, 56]-code), using
- construction X applied to C([0,21]) ⊂ C({1,2,3,5,6,7,10,11,12,13,14,19,20,21}) [i] based on
- linear OA(861, 65, F8, 55) (dual of [65, 4, 56]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (BCH-bound) [i]
- linear OA(856, 65, F8, 46) (dual of [65, 9, 47]-code), using the cyclic code C(A) with length 65 | 84−1, defining set A = {1,2,3,5,6,7,10,11,12,13,14,19,20,21}, and minimum distance d ≥ |{−25,−21,−17,…,25}|+1 = 47 (BCH-bound) [i]
- linear OA(89, 14, F8, 8) (dual of [14, 5, 9]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- construction X applied to C([0,21]) ⊂ C({1,2,3,5,6,7,10,11,12,13,14,19,20,21}) [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8133, 142, F8, 99) (dual of [142, 9, 100]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8134, 144, F8, 100) (dual of [144, 10, 101]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(8133, 71, F8, 2, 100) (dual of [(71, 2), 9, 101]-NRT-code) | [i] | OOA Folding | |