Information on Result #717679
Linear OA(944, 98, F9, 23) (dual of [98, 54, 24]-code), using construction XX applied to C1 = C([79,20]), C2 = C([6,21]), C3 = C1 + C2 = C([6,20]), and C∩ = C1 ∩ C2 = C([79,21]) based on
- linear OA(935, 80, F9, 22) (dual of [80, 45, 23]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−1,0,…,20}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(928, 80, F9, 16) (dual of [80, 52, 17]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {6,7,…,21}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(937, 80, F9, 23) (dual of [80, 43, 24]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−1,0,…,21}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(926, 80, F9, 15) (dual of [80, 54, 16]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {6,7,…,20}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(97, 16, F9, 6) (dual of [16, 9, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 17, F9, 6) (dual of [17, 10, 7]-code), using
- 3 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- 3 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 17, F9, 6) (dual of [17, 10, 7]-code), using
- linear OA(90, 2, F9, 0) (dual of [2, 2, 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
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(944, 49, F9, 2, 23) (dual of [(49, 2), 54, 24]-NRT-code) | [i] | OOA Folding | |