Information on Result #604688
Linear OA(451, 52, F4, 51) (dual of [52, 1, 52]-code or 52-arc in PG(50,4)), using dual of repetition code with length 52
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(451, 52, F4, 50) (dual of [52, 1, 51]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(451, 52, F4, 49) (dual of [52, 1, 50]-code) | [i] | ||
| 3 | Linear OA(451, 52, F4, 48) (dual of [52, 1, 49]-code) | [i] | ||
| 4 | Linear OA(451, 52, F4, 47) (dual of [52, 1, 48]-code) | [i] | ||
| 5 | Linear OA(451, 52, F4, 46) (dual of [52, 1, 47]-code) | [i] | ||
| 6 | Linear OA(451, 52, F4, 45) (dual of [52, 1, 46]-code) | [i] | ||
| 7 | Linear OA(451, 52, F4, 44) (dual of [52, 1, 45]-code) | [i] | ||
| 8 | Linear OA(451, 52, F4, 43) (dual of [52, 1, 44]-code) | [i] | ||
| 9 | Linear OA(451, 52, F4, 42) (dual of [52, 1, 43]-code) | [i] | ||
| 10 | Linear OA(4100, 130, F4, 51) (dual of [130, 30, 52]-code) | [i] | Varšamov–Edel Lengthening | |
| 11 | Linear OA(4101, 133, F4, 51) (dual of [133, 32, 52]-code) | [i] | ||
| 12 | Linear OA(4102, 136, F4, 51) (dual of [136, 34, 52]-code) | [i] | ||
| 13 | Linear OA(4103, 139, F4, 51) (dual of [139, 36, 52]-code) | [i] | ||
| 14 | Linear OA(4110, 163, F4, 51) (dual of [163, 53, 52]-code) | [i] | ||
| 15 | Linear OA(4111, 167, F4, 51) (dual of [167, 56, 52]-code) | [i] | ||
| 16 | Linear OA(4112, 171, F4, 51) (dual of [171, 59, 52]-code) | [i] | ||
| 17 | Linear OA(4113, 175, F4, 51) (dual of [175, 62, 52]-code) | [i] | ||
| 18 | Linear OA(4114, 179, F4, 51) (dual of [179, 65, 52]-code) | [i] | ||
| 19 | Linear OA(4118, 197, F4, 51) (dual of [197, 79, 52]-code) | [i] | ||
| 20 | Linear OA(4131, 271, F4, 51) (dual of [271, 140, 52]-code) | [i] | ||
| 21 | Linear OA(4132, 278, F4, 51) (dual of [278, 146, 52]-code) | [i] | ||
| 22 | Linear OA(4133, 285, F4, 51) (dual of [285, 152, 52]-code) | [i] | ||
| 23 | Linear OA(4147, 408, F4, 51) (dual of [408, 261, 52]-code) | [i] | ||
| 24 | Linear OA(4154, 490, F4, 51) (dual of [490, 336, 52]-code) | [i] | ||
| 25 | Linear OA(4155, 503, F4, 51) (dual of [503, 348, 52]-code) | [i] | ||
| 26 | Linear OA(4168, 710, F4, 51) (dual of [710, 542, 52]-code) | [i] | ||
| 27 | Linear OA(4170, 749, F4, 51) (dual of [749, 579, 52]-code) | [i] | ||
| 28 | Linear OA(4176, 880, F4, 51) (dual of [880, 704, 52]-code) | [i] | ||
| 29 | Linear OA(4177, 904, F4, 51) (dual of [904, 727, 52]-code) | [i] | ||
| 30 | Linear OA(4183, 1063, F4, 51) (dual of [1063, 880, 52]-code) | [i] | ||
| 31 | Linear OA(4186, 1153, F4, 51) (dual of [1153, 967, 52]-code) | [i] | ||
| 32 | Linear OA(4203, 1832, F4, 51) (dual of [1832, 1629, 52]-code) | [i] | ||
| 33 | Linear OA(4204, 1883, F4, 51) (dual of [1883, 1679, 52]-code) | [i] | ||
| 34 | Linear OA(4209, 2159, F4, 51) (dual of [2159, 1950, 52]-code) | [i] | ||
| 35 | Linear OA(4210, 2219, F4, 51) (dual of [2219, 2009, 52]-code) | [i] | ||
| 36 | Linear OA(4217, 2689, F4, 51) (dual of [2689, 2472, 52]-code) | [i] | ||
| 37 | Linear OA(4218, 2764, F4, 51) (dual of [2764, 2546, 52]-code) | [i] | ||
| 38 | Linear OA(4219, 2841, F4, 51) (dual of [2841, 2622, 52]-code) | [i] | ||
| 39 | Linear OA(4220, 2920, F4, 51) (dual of [2920, 2700, 52]-code) | [i] | ||
| 40 | Linear OA(4222, 3085, F4, 51) (dual of [3085, 2863, 52]-code) | [i] | ||
| 41 | Linear OA(4223, 3171, F4, 51) (dual of [3171, 2948, 52]-code) | [i] | ||
| 42 | Linear OA(4234, 4293, F4, 51) (dual of [4293, 4059, 52]-code) | [i] | ||
| 43 | Linear OA(4235, 4413, F4, 51) (dual of [4413, 4178, 52]-code) | [i] | ||
| 44 | Linear OA(4237, 4663, F4, 51) (dual of [4663, 4426, 52]-code) | [i] | ||