Information on Result #718251
Linear OA(991, 120, F9, 53) (dual of [120, 29, 54]-code), using construction XX applied to C1 = C([10,52]), C2 = C([0,42]), C3 = C1 + C2 = C([10,42]), and C∩ = C1 ∩ C2 = C([0,52]) based on
- linear OA(961, 80, F9, 43) (dual of [80, 19, 44]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {10,11,…,52}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(961, 80, F9, 43) (dual of [80, 19, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(970, 80, F9, 53) (dual of [80, 10, 54]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,52], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(950, 80, F9, 33) (dual of [80, 30, 34]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {10,11,…,42}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- linear OA(910, 20, F9, 9) (dual of [20, 10, 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(992, 121, F9, 53) (dual of [121, 29, 54]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(991, 60, F9, 2, 53) (dual of [(60, 2), 29, 54]-NRT-code) | [i] | OOA Folding | |