Information on Result #604401
Linear OA(315, 16, F3, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,3)), using dual of repetition code with length 16
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(315, 16, F3, 14) (dual of [16, 1, 15]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(315, 16, F3, 13) (dual of [16, 1, 14]-code) | [i] | ||
| 3 | Linear OA(315, 16, F3, 12) (dual of [16, 1, 13]-code) | [i] | ||
| 4 | Linear OA(3106, 259, F3, 31) (dual of [259, 153, 32]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(3133, 745, F3, 31) (dual of [745, 612, 32]-code) | [i] | ||
| 6 | Linear OA(3156, 2204, F3, 31) (dual of [2204, 2048, 32]-code) | [i] | Construction X with Cyclic Codes | |
| 7 | Linear OA(3176, 6578, F3, 31) (dual of [6578, 6402, 32]-code) | [i] | ||
| 8 | Linear OA(3196, 19700, F3, 31) (dual of [19700, 19504, 32]-code) | [i] | ||
| 9 | Linear OA(3216, 59066, F3, 31) (dual of [59066, 58850, 32]-code) | [i] | ||
| 10 | Linear OA(3236, 177164, F3, 31) (dual of [177164, 176928, 32]-code) | [i] | ||
| 11 | Linear OA(3126, 260, F3, 33) (dual of [260, 134, 34]-code) | [i] | ||
| 12 | Linear OA(3136, 381, F3, 33) (dual of [381, 245, 34]-code) | [i] | ||
| 13 | Linear OA(3148, 746, F3, 33) (dual of [746, 598, 34]-code) | [i] | ||
| 14 | Linear OA(3141, 4782984, F3, 15) (dual of [4782984, 4782843, 16]-code) | [i] | Construction X4 with Cyclic Codes | |
| 15 | Linear OA(3119, 1594338, F3, 14) (dual of [1594338, 1594219, 15]-code) | [i] | ||
| 16 | Linear OA(372, 2204, F3, 15) (dual of [2204, 2132, 16]-code) | [i] | ||
| 17 | Linear OA(344, 2204, F3, 9) (dual of [2204, 2160, 10]-code) | [i] | ||
| 18 | Linear OA(3128, 4782985, F3, 14) (dual of [4782985, 4782857, 15]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 19 | Linear OA(3114, 4782985, F3, 13) (dual of [4782985, 4782871, 14]-code) | [i] | ||
| 20 | Linear OA(3100, 4782985, F3, 11) (dual of [4782985, 4782885, 12]-code) | [i] | ||
| 21 | Linear OA(386, 4782985, F3, 10) (dual of [4782985, 4782899, 11]-code) | [i] | ||
| 22 | Linear OA(372, 4782985, F3, 8) (dual of [4782985, 4782913, 9]-code) | [i] | ||
| 23 | Linear OA(358, 4782985, F3, 7) (dual of [4782985, 4782927, 8]-code) | [i] | ||
| 24 | Linear OA(344, 4782985, F3, 5) (dual of [4782985, 4782941, 6]-code) | [i] | ||
| 25 | Linear OA(358, 2203, F3, 12) (dual of [2203, 2145, 13]-code) | [i] | ||
| 26 | Linear OA(330, 2203, F3, 6) (dual of [2203, 2173, 7]-code) | [i] | ||
| 27 | Linear OA(3217, 250, F3, 111) (dual of [250, 33, 112]-code) | [i] | Construction X with Varšamov Bound | |
| 28 | Linear OA(3218, 251, F3, 112) (dual of [251, 33, 113]-code) | [i] | ||
| 29 | Linear OA(3219, 252, F3, 113) (dual of [252, 33, 114]-code) | [i] | ||
| 30 | Linear OA(3243, 276, F3, 126) (dual of [276, 33, 127]-code) | [i] | ||
| 31 | Linear OA(3245, 278, F3, 127) (dual of [278, 33, 128]-code) | [i] | ||
| 32 | Linear OA(3249, 282, F3, 129) (dual of [282, 33, 130]-code) | [i] | ||