Information on Result #812599
Linear OOA(323, 127, F3, 2, 7) (dual of [(127, 2), 231, 8]-NRT-code), using OOA 2-folding based on linear OA(323, 254, F3, 7) (dual of [254, 231, 8]-code), using
- construction XX applied to C1 = C([120,124]), C2 = C([118,122]), C3 = C1 + C2 = C([120,122]), and C∩ = C1 ∩ C2 = C([118,124]) [i] based on
- linear OA(316, 242, F3, 5) (dual of [242, 226, 6]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {120,121,122,123,124}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(316, 242, F3, 5) (dual of [242, 226, 6]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {118,119,120,121,122}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(321, 242, F3, 7) (dual of [242, 221, 8]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {118,119,…,124}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(311, 242, F3, 3) (dual of [242, 231, 4]-code or 242-cap in PG(10,3)), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {120,121,122}, and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(31, 6, F3, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(31, 6, F3, 1) (dual of [6, 5, 2]-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(3159, 4194428, F3, 2, 14) (dual of [(4194428, 2), 8388697, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3173, 4194428, F3, 2, 15) (dual of [(4194428, 2), 8388683, 16]-NRT-code) | [i] | ||