Information on Result #2232927
Linear OA(3229, 261, F3, 127) (dual of [261, 32, 128]-code), using 1 times truncation based on linear OA(3230, 262, F3, 128) (dual of [262, 32, 129]-code), using
- construction XX applied to C1 = C([239,120]), C2 = C([1,124]), C3 = C1 + C2 = C([1,120]), and C∩ = C1 ∩ C2 = C([239,124]) [i] based on
- linear OA(3216, 242, F3, 124) (dual of [242, 26, 125]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,120}, and designed minimum distance d ≥ |I|+1 = 125 [i]
- linear OA(3216, 242, F3, 124) (dual of [242, 26, 125]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,124], and designed minimum distance d ≥ |I|+1 = 125 [i]
- linear OA(3222, 242, F3, 128) (dual of [242, 20, 129]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,124}, and designed minimum distance d ≥ |I|+1 = 129 [i]
- linear OA(3210, 242, F3, 120) (dual of [242, 32, 121]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,120], and designed minimum distance d ≥ |I|+1 = 121 [i]
- linear OA(34, 10, F3, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), using
- linear OA(34, 10, F3, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)) (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 OA(3250, 282, F3, 127) (dual of [282, 32, 128]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3245, 278, F3, 127) (dual of [278, 33, 128]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(3229, 87, F3, 3, 127) (dual of [(87, 3), 32, 128]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3229, 52, F3, 5, 127) (dual of [(52, 5), 31, 128]-NRT-code) | [i] | ||