Information on Result #677810
Linear OA(320, 26, F3, 14) (dual of [26, 6, 15]-code), using contraction based on linear OA(346, 52, F3, 29) (dual of [52, 6, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [0,27], and minimum distance d ≥ |{−1,0,…,27}|+1 = 30 (BCH-bound) [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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3141, 146, F3, 95) (dual of [146, 5, 96]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(3185, 191, F3, 122) (dual of [191, 6, 123]-code) | [i] | ||
| 3 | Linear OA(399, 106, F3, 64) (dual of [106, 7, 65]-code) | [i] | Construction X with Cyclic Codes | |
| 4 | Linear OA(326, 33, F3, 17) (dual of [33, 7, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(324, 31, F3, 16) (dual of [31, 7, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(325, 31, F3, 17) (dual of [31, 6, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(3103, 110, F3, 67) (dual of [110, 7, 68]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 8 | Linear OA(325, 32, F3, 16) (dual of [32, 7, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(3100, 107, F3, 65) (dual of [107, 7, 66]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 10 | Linear OA(360, 67, F3, 37) (dual of [67, 7, 38]-code) | [i] | ||
| 11 | Linear OA(3104, 111, F3, 68) (dual of [111, 7, 69]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 12 | Linear OA(3131, 146, F3, 68) (dual of [146, 15, 69]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 13 | Linear OA(3220, 257, F3, 105) (dual of [257, 37, 106]-code) | [i] | Construction X with Varšamov Bound | |
| 14 | Linear OA(3221, 259, F3, 105) (dual of [259, 38, 106]-code) | [i] | ||
| 15 | Linear OA(3220, 256, F3, 106) (dual of [256, 36, 107]-code) | [i] | ||
| 16 | Linear OA(3221, 258, F3, 106) (dual of [258, 37, 107]-code) | [i] | ||
| 17 | Linear OA(3222, 260, F3, 106) (dual of [260, 38, 107]-code) | [i] | ||
| 18 | Linear OA(3221, 257, F3, 107) (dual of [257, 36, 108]-code) | [i] | ||
| 19 | Linear OA(3222, 259, F3, 107) (dual of [259, 37, 108]-code) | [i] | ||
| 20 | Linear OA(3224, 262, F3, 107) (dual of [262, 38, 108]-code) | [i] | ||
| 21 | Linear OA(3224, 261, F3, 108) (dual of [261, 37, 109]-code) | [i] | ||
| 22 | Linear OA(3226, 264, F3, 108) (dual of [264, 38, 109]-code) | [i] | ||
| 23 | Linear OA(3226, 263, F3, 109) (dual of [263, 37, 110]-code) | [i] | ||
| 24 | Linear OA(3228, 266, F3, 109) (dual of [266, 38, 110]-code) | [i] | ||
| 25 | Linear OA(3228, 265, F3, 110) (dual of [265, 37, 111]-code) | [i] | ||