Information on Result #719371
Linear OA(967, 759, F9, 22) (dual of [759, 692, 23]-code), using construction XX applied to C1 = C([72,90]), C2 = C([78,93]), C3 = C1 + C2 = C([78,90]), and C∩ = C1 ∩ C2 = C([72,93]) based on
- linear OA(951, 728, F9, 19) (dual of [728, 677, 20]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,90}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(943, 728, F9, 16) (dual of [728, 685, 17]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {78,79,…,93}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(958, 728, F9, 22) (dual of [728, 670, 23]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,93}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(936, 728, F9, 13) (dual of [728, 692, 14]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {78,79,…,90}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(97, 22, F9, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
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 OOA(967, 253, F9, 3, 22) (dual of [(253, 3), 692, 23]-NRT-code) | [i] | OOA Folding | |