Information on Result #677635
Linear OA(380, 91, F3, 50) (dual of [91, 11, 51]-code), using construction XX applied to C1 = C([0,87]), C2 = C([1,99]), C3 = C1 + C2 = C([1,87]), and C∩ = C1 ∩ C2 = C([0,99]) based on
- linear OA(370, 80, F3, 44) (dual of [80, 10, 45]-code), using contraction [i] based on linear OA(3150, 160, F3, 89) (dual of [160, 10, 90]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [0,87], and minimum distance d ≥ |{−1,0,…,87}|+1 = 90 (BCH-bound) [i]
- linear OA(373, 80, F3, 49) (dual of [80, 7, 50]-code), using contraction [i] based on linear OA(3153, 160, F3, 99) (dual of [160, 7, 100]-code), using the narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [1,99], and designed minimum distance d ≥ |I|+1 = 100 [i]
- linear OA(374, 80, F3, 50) (dual of [80, 6, 51]-code), using contraction [i] based on linear OA(3154, 160, F3, 101) (dual of [160, 6, 102]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [0,99], and minimum distance d ≥ |{−1,0,…,99}|+1 = 102 (BCH-bound) [i]
- linear OA(369, 80, F3, 43) (dual of [80, 11, 44]-code), using contraction [i] based on linear OA(3149, 160, F3, 87) (dual of [160, 11, 88]-code), using the narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [1,87], and designed minimum distance d ≥ |I|+1 = 88 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- linear OA(36, 10, F3, 5) (dual of [10, 4, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(380, 91, F3, 49) (dual of [91, 11, 50]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(380, 91, F3, 48) (dual of [91, 11, 49]-code) | [i] | ||
| 3 | Linear OA(382, 93, F3, 50) (dual of [93, 11, 51]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(378, 89, F3, 48) (dual of [89, 11, 49]-code) | [i] | Truncation | |
| 5 | Linear OA(377, 88, F3, 47) (dual of [88, 11, 48]-code) | [i] | ||
| 6 | Linear OA(376, 87, F3, 46) (dual of [87, 11, 47]-code) | [i] | ||