Information on Result #2233383
Linear OA(3249, 274, F3, 139) (dual of [274, 25, 140]-code), using 1 times truncation based on linear OA(3250, 275, F3, 140) (dual of [275, 25, 141]-code), using
- construction XX applied to C1 = C([233,124]), C2 = C([0,130]), C3 = C1 + C2 = C([0,124]), and C∩ = C1 ∩ C2 = C([233,130]) [i] based on
- linear OA(3227, 242, F3, 134) (dual of [242, 15, 135]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−9,−8,…,124}, and designed minimum distance d ≥ |I|+1 = 135 [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(3217, 242, F3, 125) (dual of [242, 25, 126]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,124], and designed minimum distance d ≥ |I|+1 = 126 [i]
- 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
- linear OA(36, 11, F3, 5) (dual of [11, 5, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- extended Golay code Ge(3) [i]
- discarding factors / shortening the dual code based on linear OA(36, 12, F3, 5) (dual of [12, 6, 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(3249, 137, F3, 2, 139) (dual of [(137, 2), 25, 140]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3249, 91, F3, 3, 139) (dual of [(91, 3), 24, 140]-NRT-code) | [i] | ||