Information on Result #944721
Linear OOA(910, 367, F9, 3, 4) (dual of [(367, 3), 1091, 5]-NRT-code), using OA 2-folding and stacking based on linear OA(910, 734, F9, 4) (dual of [734, 724, 5]-code), using
- construction XX applied to C1 = C([727,1]), C2 = C([0,2]), C3 = C1 + C2 = C([0,1]), and C∩ = C1 ∩ C2 = C([727,2]) [i] based on
- linear OA(97, 728, F9, 3) (dual of [728, 721, 4]-code or 728-cap in PG(6,9)), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,1}, and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(97, 728, F9, 3) (dual of [728, 721, 4]-code or 728-cap in PG(6,9)), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(910, 728, F9, 4) (dual of [728, 718, 5]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,1,2}, and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(94, 728, F9, 2) (dual of [728, 724, 3]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(90, 3, F9, 0) (dual of [3, 3, 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
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(928, 400, F9, 3, 8) (dual of [(400, 3), 1172, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(968, 5592769, F9, 3, 8) (dual of [(5592769, 3), 16778239, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(930, 400, F9, 3, 9) (dual of [(400, 3), 1170, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(976, 5592769, F9, 3, 9) (dual of [(5592769, 3), 16778231, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(910, 367, F9, 4, 4) (dual of [(367, 4), 1458, 5]-NRT-code) | [i] | Appending kth Column | |