Information on Result #604436
Linear OA(350, 51, F3, 50) (dual of [51, 1, 51]-code or 51-arc in PG(49,3)), using dual of repetition code with length 51
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(350, 51, F3, 49) (dual of [51, 1, 50]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(350, 51, F3, 48) (dual of [51, 1, 49]-code) | [i] | ||
| 3 | Linear OA(350, 51, F3, 47) (dual of [51, 1, 48]-code) | [i] | ||
| 4 | Linear OA(350, 51, F3, 46) (dual of [51, 1, 47]-code) | [i] | ||
| 5 | Linear OA(350, 51, F3, 45) (dual of [51, 1, 46]-code) | [i] | ||
| 6 | Linear OA(350, 51, F3, 44) (dual of [51, 1, 45]-code) | [i] | ||
| 7 | Linear OA(350, 51, F3, 43) (dual of [51, 1, 44]-code) | [i] | ||
| 8 | Linear OA(350, 51, F3, 42) (dual of [51, 1, 43]-code) | [i] | ||
| 9 | Linear OA(350, 51, F3, 41) (dual of [51, 1, 42]-code) | [i] | ||
| 10 | Linear OA(350, 51, F3, 40) (dual of [51, 1, 41]-code) | [i] | ||
| 11 | Linear OA(350, 51, F3, 39) (dual of [51, 1, 40]-code) | [i] | ||
| 12 | Linear OA(3110, 138, F3, 50) (dual of [138, 28, 51]-code) | [i] | Varšamov–Edel Lengthening | |
| 13 | Linear OA(3112, 143, F3, 50) (dual of [143, 31, 51]-code) | [i] | ||
| 14 | Linear OA(3116, 154, F3, 50) (dual of [154, 38, 51]-code) | [i] | ||
| 15 | Linear OA(3117, 157, F3, 50) (dual of [157, 40, 51]-code) | [i] | ||
| 16 | Linear OA(3118, 160, F3, 50) (dual of [160, 42, 51]-code) | [i] | ||
| 17 | Linear OA(3119, 163, F3, 50) (dual of [163, 44, 51]-code) | [i] | ||
| 18 | Linear OA(3120, 166, F3, 50) (dual of [166, 46, 51]-code) | [i] | ||
| 19 | Linear OA(3127, 190, F3, 50) (dual of [190, 63, 51]-code) | [i] | ||
| 20 | Linear OA(3138, 236, F3, 50) (dual of [236, 98, 51]-code) | [i] | ||
| 21 | Linear OA(3147, 283, F3, 50) (dual of [283, 136, 51]-code) | [i] | ||
| 22 | Linear OA(3148, 289, F3, 50) (dual of [289, 141, 51]-code) | [i] | ||
| 23 | Linear OA(3149, 295, F3, 50) (dual of [295, 146, 51]-code) | [i] | ||
| 24 | Linear OA(3150, 301, F3, 50) (dual of [301, 151, 51]-code) | [i] | ||
| 25 | Linear OA(3153, 320, F3, 50) (dual of [320, 167, 51]-code) | [i] | ||
| 26 | Linear OA(3154, 327, F3, 50) (dual of [327, 173, 51]-code) | [i] | ||
| 27 | Linear OA(3158, 355, F3, 50) (dual of [355, 197, 51]-code) | [i] | ||
| 28 | Linear OA(3161, 378, F3, 50) (dual of [378, 217, 51]-code) | [i] | ||
| 29 | Linear OA(3162, 386, F3, 50) (dual of [386, 224, 51]-code) | [i] | ||
| 30 | Linear OA(3165, 411, F3, 50) (dual of [411, 246, 51]-code) | [i] | ||
| 31 | Linear OA(3166, 420, F3, 50) (dual of [420, 254, 51]-code) | [i] | ||
| 32 | Linear OA(3167, 429, F3, 50) (dual of [429, 262, 51]-code) | [i] | ||
| 33 | Linear OA(3168, 438, F3, 50) (dual of [438, 270, 51]-code) | [i] | ||
| 34 | Linear OA(3170, 457, F3, 50) (dual of [457, 287, 51]-code) | [i] | ||
| 35 | Linear OA(3171, 467, F3, 50) (dual of [467, 296, 51]-code) | [i] | ||
| 36 | Linear OA(3172, 477, F3, 50) (dual of [477, 305, 51]-code) | [i] | ||
| 37 | Linear OA(3173, 487, F3, 50) (dual of [487, 314, 51]-code) | [i] | ||
| 38 | Linear OA(3176, 519, F3, 50) (dual of [519, 343, 51]-code) | [i] | ||
| 39 | Linear OA(3183, 603, F3, 50) (dual of [603, 420, 51]-code) | [i] | ||
| 40 | Linear OA(3219, 1321, F3, 50) (dual of [1321, 1102, 51]-code) | [i] | ||