Information on Result #2268859
Linear OA(3250, 280, F3, 135) (dual of [280, 30, 136]-code), using 1 times code embedding in larger space based on linear OA(3249, 279, F3, 135) (dual of [279, 30, 136]-code), using
- construction XX applied to C1 = C([233,121]), C2 = C([0,130]), C3 = C1 + C2 = C([0,121]), and C∩ = C1 ∩ C2 = C([233,130]) [i] based on
- linear OA(3222, 242, F3, 131) (dual of [242, 20, 132]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−9,−8,…,121}, and designed minimum distance d ≥ |I|+1 = 132 [i]
- linear OA(3222, 242, F3, 131) (dual of [242, 20, 132]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,130], and designed minimum distance d ≥ |I|+1 = 132 [i]
- linear OA(3232, 242, F3, 140) (dual of [242, 10, 141]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−9,−8,…,130}, and designed minimum distance d ≥ |I|+1 = 141 [i]
- linear OA(3212, 242, F3, 122) (dual of [242, 30, 123]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,121], and designed minimum distance d ≥ |I|+1 = 123 [i]
- linear OA(35, 15, F3, 3) (dual of [15, 10, 4]-code or 15-cap in PG(4,3)), using
- linear OA(312, 22, F3, 8) (dual of [22, 10, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- discarding factors / shortening the dual code based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3250, 140, F3, 2, 135) (dual of [(140, 2), 30, 136]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3250, 56, F3, 5, 135) (dual of [(56, 5), 30, 136]-NRT-code) | [i] | ||