Information on Result #677816
Linear OA(318, 26, F3, 12) (dual of [26, 8, 13]-code), using contraction based on linear OA(344, 52, F3, 25) (dual of [52, 8, 26]-code), using the narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(343, 52, F3, 25) (dual of [52, 9, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3137, 145, F3, 84) (dual of [145, 8, 85]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(399, 106, F3, 63) (dual of [106, 7, 64]-code) | [i] | ||
| 4 | Linear OA(3136, 143, F3, 84) (dual of [143, 7, 85]-code) | [i] | ||
| 5 | Linear OA(3180, 187, F3, 114) (dual of [187, 7, 115]-code) | [i] | ||
| 6 | Linear OA(3139, 144, F3, 93) (dual of [144, 5, 94]-code) | [i] | ||
| 7 | Linear OA(3186, 193, F3, 120) (dual of [193, 7, 121]-code) | [i] | ||
| 8 | Linear OA(3200, 207, F3, 126) (dual of [207, 7, 127]-code) | [i] | ||
| 9 | Linear OA(3183, 189, F3, 120) (dual of [189, 6, 121]-code) | [i] | ||
| 10 | Linear OA(3129, 136, F3, 81) (dual of [136, 7, 82]-code) | [i] | ||
| 11 | Linear OA(3139, 146, F3, 87) (dual of [146, 7, 88]-code) | [i] | ||
| 12 | Linear OA(3143, 150, F3, 90) (dual of [150, 7, 91]-code) | [i] | ||
| 13 | Linear OA(3130, 137, F3, 84) (dual of [137, 7, 85]-code) | [i] | ||
| 14 | Linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code) | [i] | Dual Code (with Bound on d by Construction Y1) | |
| 15 | Linear OA(326, 34, F3, 16) (dual of [34, 8, 17]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 16 | Linear OA(327, 35, F3, 17) (dual of [35, 8, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 17 | Linear OA(338, 46, F3, 22) (dual of [46, 8, 23]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 18 | Linear OA(324, 32, F3, 15) (dual of [32, 8, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(3250, 266, F3, 147) (dual of [266, 16, 148]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 20 | Linear OA(3250, 269, F3, 144) (dual of [269, 19, 145]-code) | [i] | ||
| 21 | Linear OA(3214, 250, F3, 102) (dual of [250, 36, 103]-code) | [i] | Construction X with Varšamov Bound | |
| 22 | Linear OA(3215, 252, F3, 102) (dual of [252, 37, 103]-code) | [i] | ||
| 23 | Linear OA(3215, 251, F3, 103) (dual of [251, 36, 104]-code) | [i] | ||
| 24 | Linear OOA(318, 13, F3, 2, 12) (dual of [(13, 2), 8, 13]-NRT-code) | [i] | OOA Folding | |
| 25 | Linear OOA(318, 8, F3, 3, 12) (dual of [(8, 3), 6, 13]-NRT-code) | [i] | ||