Information on Result #703722
Linear OA(3237, 263, F3, 134) (dual of [263, 26, 135]-code), using construction XX applied to C1 = C([112,241]), C2 = C([118,3]), C3 = C1 + C2 = C([118,241]), and C∩ = C1 ∩ C2 = C([112,3]) based on
- linear OA(3221, 242, F3, 130) (dual of [242, 21, 131]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {112,113,…,241}, and designed minimum distance d ≥ |I|+1 = 131 [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 = {118,119,…,3}, and designed minimum distance d ≥ |I|+1 = 129 [i]
- 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 = {112,113,…,3}, and designed minimum distance d ≥ |I|+1 = 135 [i]
- 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 = {118,119,…,241}, and designed minimum distance d ≥ |I|+1 = 125 [i]
- 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
- linear OA(34, 10, F3, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), 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 OA(3237, 263, F3, 133) (dual of [263, 26, 134]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3237, 263, F3, 132) (dual of [263, 26, 133]-code) | [i] | ||
| 3 | Linear OA(3238, 264, F3, 134) (dual of [264, 26, 135]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3240, 266, F3, 134) (dual of [266, 26, 135]-code) | [i] | ||
| 5 | Linear OA(3241, 267, F3, 134) (dual of [267, 26, 135]-code) | [i] | ||
| 6 | Linear OA(3236, 262, F3, 133) (dual of [262, 26, 134]-code) | [i] | Truncation | |
| 7 | Linear OA(3235, 261, F3, 132) (dual of [261, 26, 133]-code) | [i] | ||
| 8 | Linear OOA(3237, 131, F3, 2, 134) (dual of [(131, 2), 25, 135]-NRT-code) | [i] | OOA Folding | |