Information on Result #620030
Linear OA(320, 28, F3, 14) (dual of [28, 8, 15]-code), using contraction based on linear OA(348, 56, F3, 29) (dual of [56, 8, 30]-code), using the BCH-code C(I) with length 56 | 36−1, defining interval I = {0,1,…,28}, and designed minimum distance d ≥ |I|+1 = 30 [i]
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(320, 28, F3, 13) (dual of [28, 8, 14]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(321, 29, F3, 14) (dual of [29, 8, 15]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(322, 30, F3, 14) (dual of [30, 8, 15]-code) | [i] | ||
| 4 | Linear OA(318, 26, F3, 12) (dual of [26, 8, 13]-code) | [i] | Truncation | |
| 5 | Linear OA(317, 25, F3, 11) (dual of [25, 8, 12]-code) | [i] | ||
| 6 | Linear OA(316, 24, F3, 10) (dual of [24, 8, 11]-code) | [i] | ||
| 7 | Linear OA(3132, 757, F3, 29) (dual of [757, 625, 30]-code) | [i] | (u, u+v)-Construction | |
| 8 | Linear OA(3139, 147, F3, 86) (dual of [147, 8, 87]-code) | [i] | Juxtaposition | |
| 9 | Linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code) | [i] | Dual Code (with Bound on d by Construction Y1) | |
| 10 | Linear OA(3136, 149, F3, 77) (dual of [149, 13, 78]-code) | [i] | Construction X with Cyclic Codes | |
| 11 | Linear OA(3137, 151, F3, 77) (dual of [151, 14, 78]-code) | [i] | Construction XX with Cyclic Codes | |
| 12 | Linear OA(3140, 153, F3, 79) (dual of [153, 13, 80]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 13 | Linear OA(3136, 150, F3, 76) (dual of [150, 14, 77]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 14 | Linear OA(385, 109, F3, 40) (dual of [109, 24, 41]-code) | [i] | ||
| 15 | Linear OOA(320, 14, F3, 2, 14) (dual of [(14, 2), 8, 15]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(320, 7, F3, 4, 14) (dual of [(7, 4), 8, 15]-NRT-code) | [i] | ||