Information on Result #677814
Linear OA(319, 26, F3, 13) (dual of [26, 7, 14]-code), using contraction based on linear OA(345, 52, F3, 27) (dual of [52, 7, 28]-code), using the narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(3100, 107, F3, 64) (dual of [107, 7, 65]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(3137, 144, F3, 85) (dual of [144, 7, 86]-code) | [i] | ||
| 3 | Linear OA(3181, 188, F3, 115) (dual of [188, 7, 116]-code) | [i] | ||
| 4 | Linear OA(3140, 145, F3, 94) (dual of [145, 5, 95]-code) | [i] | ||
| 5 | Linear OA(3187, 194, F3, 121) (dual of [194, 7, 122]-code) | [i] | ||
| 6 | Linear OA(3201, 208, F3, 127) (dual of [208, 7, 128]-code) | [i] | ||
| 7 | Linear OA(3213, 220, F3, 135) (dual of [220, 7, 136]-code) | [i] | ||
| 8 | Linear OA(3184, 190, F3, 121) (dual of [190, 6, 122]-code) | [i] | ||
| 9 | Linear OA(3130, 137, F3, 82) (dual of [137, 7, 83]-code) | [i] | ||
| 10 | Linear OA(3134, 141, F3, 84) (dual of [141, 7, 85]-code) | [i] | ||
| 11 | Linear OA(3140, 147, F3, 88) (dual of [147, 7, 89]-code) | [i] | ||
| 12 | Linear OA(3144, 151, F3, 91) (dual of [151, 7, 92]-code) | [i] | ||
| 13 | Linear OA(3127, 134, F3, 82) (dual of [134, 7, 83]-code) | [i] | ||
| 14 | Linear OA(3131, 138, F3, 85) (dual of [138, 7, 86]-code) | [i] | ||
| 15 | Linear OA(3137, 144, F3, 87) (dual of [144, 7, 88]-code) | [i] | ||
| 16 | Linear OA(323, 30, F3, 15) (dual of [30, 7, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 17 | Linear OA(326, 33, F3, 17) (dual of [33, 7, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 18 | Linear OA(324, 31, F3, 16) (dual of [31, 7, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(325, 31, F3, 17) (dual of [31, 6, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(338, 46, F3, 22) (dual of [46, 8, 23]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 21 | Linear OA(324, 32, F3, 15) (dual of [32, 8, 16]-code) | [i] | ✔ | |
| 22 | Linear OA(3135, 146, F3, 80) (dual of [146, 11, 81]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 23 | Linear OA(3217, 254, F3, 103) (dual of [254, 37, 104]-code) | [i] | Construction X with Varšamov Bound | |
| 24 | Linear OA(3218, 256, F3, 103) (dual of [256, 38, 104]-code) | [i] | ||
| 25 | Linear OA(3219, 258, F3, 103) (dual of [258, 39, 104]-code) | [i] | ||
| 26 | Linear OA(3217, 253, F3, 104) (dual of [253, 36, 105]-code) | [i] | ||
| 27 | Linear OA(3218, 255, F3, 104) (dual of [255, 37, 105]-code) | [i] | ||
| 28 | Linear OA(3219, 257, F3, 104) (dual of [257, 38, 105]-code) | [i] | ||
| 29 | Linear OA(3218, 254, F3, 105) (dual of [254, 36, 106]-code) | [i] | ||
| 30 | Linear OOA(319, 13, F3, 2, 13) (dual of [(13, 2), 7, 14]-NRT-code) | [i] | OOA Folding | |