Information on Result #611730
Linear OA(320, 27, F3, 14) (dual of [27, 7, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(3182, 189, F3, 104) (dual of [189, 7, 105]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(3101, 108, F3, 65) (dual of [108, 7, 66]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(3138, 145, F3, 86) (dual of [145, 7, 87]-code) | [i] | ||
| 4 | Linear OA(3182, 189, F3, 116) (dual of [189, 7, 117]-code) | [i] | ||
| 5 | Linear OA(3188, 195, F3, 122) (dual of [195, 7, 123]-code) | [i] | ||
| 6 | Linear OA(3202, 209, F3, 128) (dual of [209, 7, 129]-code) | [i] | ||
| 7 | Linear OA(3214, 221, F3, 136) (dual of [221, 7, 137]-code) | [i] | ||
| 8 | Linear OA(3215, 222, F3, 137) (dual of [222, 7, 138]-code) | [i] | ||
| 9 | Linear OA(3131, 138, F3, 83) (dual of [138, 7, 84]-code) | [i] | ||
| 10 | Linear OA(3135, 142, F3, 85) (dual of [142, 7, 86]-code) | [i] | ||
| 11 | Linear OA(3141, 148, F3, 89) (dual of [148, 7, 90]-code) | [i] | ||
| 12 | Linear OA(3145, 152, F3, 92) (dual of [152, 7, 93]-code) | [i] | ||
| 13 | Linear OA(3128, 135, F3, 83) (dual of [135, 7, 84]-code) | [i] | ||
| 14 | Linear OA(3132, 139, F3, 86) (dual of [139, 7, 87]-code) | [i] | ||
| 15 | Linear OA(3138, 145, F3, 88) (dual of [145, 7, 89]-code) | [i] | ||
| 16 | Linear OA(325, 33, F3, 16) (dual of [33, 8, 17]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(3221, 260, F3, 104) (dual of [260, 39, 105]-code) | [i] | Construction X with Varšamov Bound | |
| 18 | Linear OA(3222, 261, F3, 105) (dual of [261, 39, 106]-code) | [i] | ||
| 19 | Linear OA(3224, 263, F3, 106) (dual of [263, 39, 107]-code) | [i] | ||
| 20 | Linear OA(3226, 265, F3, 107) (dual of [265, 39, 108]-code) | [i] | ||
| 21 | Linear OA(3228, 267, F3, 108) (dual of [267, 39, 109]-code) | [i] | ||
| 22 | Linear OOA(320, 9, F3, 3, 14) (dual of [(9, 3), 7, 15]-NRT-code) | [i] | OOA Folding | |