Information on Result #703521
Linear OA(3137, 290, F3, 40) (dual of [290, 153, 41]-code), using construction XX applied to C1 = C([91,124]), C2 = C([99,130]), C3 = C1 + C2 = C([99,124]), and C∩ = C1 ∩ C2 = C([91,130]) based on
- linear OA(3101, 242, F3, 34) (dual of [242, 141, 35]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {91,92,…,124}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3106, 242, F3, 32) (dual of [242, 136, 33]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {99,100,…,130}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3116, 242, F3, 40) (dual of [242, 126, 41]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {91,92,…,130}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(386, 242, F3, 26) (dual of [242, 156, 27]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {99,100,…,124}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(311, 23, F3, 7) (dual of [23, 12, 8]-code), using
- 1 times truncation [i] based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- 1 times truncation [i] based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- linear OA(38, 25, F3, 5) (dual of [25, 17, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-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(3137, 145, F3, 2, 40) (dual of [(145, 2), 153, 41]-NRT-code) | [i] | OOA Folding | |