Information on Result #604440
Linear OA(354, 55, F3, 54) (dual of [55, 1, 55]-code or 55-arc in PG(53,3)), using dual of repetition code with length 55
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(354, 55, F3, 53) (dual of [55, 1, 54]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(354, 55, F3, 52) (dual of [55, 1, 53]-code) | [i] | ||
| 3 | Linear OA(354, 55, F3, 51) (dual of [55, 1, 52]-code) | [i] | ||
| 4 | Linear OA(354, 55, F3, 50) (dual of [55, 1, 51]-code) | [i] | ||
| 5 | Linear OA(354, 55, F3, 49) (dual of [55, 1, 50]-code) | [i] | ||
| 6 | Linear OA(354, 55, F3, 48) (dual of [55, 1, 49]-code) | [i] | ||
| 7 | Linear OA(354, 55, F3, 47) (dual of [55, 1, 48]-code) | [i] | ||
| 8 | Linear OA(354, 55, F3, 46) (dual of [55, 1, 47]-code) | [i] | ||
| 9 | Linear OA(354, 55, F3, 45) (dual of [55, 1, 46]-code) | [i] | ||
| 10 | Linear OA(354, 55, F3, 44) (dual of [55, 1, 45]-code) | [i] | ||
| 11 | Linear OA(354, 55, F3, 43) (dual of [55, 1, 44]-code) | [i] | ||
| 12 | Linear OA(354, 55, F3, 42) (dual of [55, 1, 43]-code) | [i] | ||
| 13 | Linear OA(3121, 154, F3, 54) (dual of [154, 33, 55]-code) | [i] | Varšamov–Edel Lengthening | |
| 14 | Linear OA(3124, 162, F3, 54) (dual of [162, 38, 55]-code) | [i] | ||
| 15 | Linear OA(3125, 165, F3, 54) (dual of [165, 40, 55]-code) | [i] | ||
| 16 | Linear OA(3126, 168, F3, 54) (dual of [168, 42, 55]-code) | [i] | ||
| 17 | Linear OA(3127, 171, F3, 54) (dual of [171, 44, 55]-code) | [i] | ||
| 18 | Linear OA(3128, 174, F3, 54) (dual of [174, 46, 55]-code) | [i] | ||
| 19 | Linear OA(3129, 177, F3, 54) (dual of [177, 48, 55]-code) | [i] | ||
| 20 | Linear OA(3130, 180, F3, 54) (dual of [180, 50, 55]-code) | [i] | ||
| 21 | Linear OA(3131, 183, F3, 54) (dual of [183, 52, 55]-code) | [i] | ||
| 22 | Linear OA(3132, 186, F3, 54) (dual of [186, 54, 55]-code) | [i] | ||
| 23 | Linear OA(3138, 207, F3, 54) (dual of [207, 69, 55]-code) | [i] | ||
| 24 | Linear OA(3139, 211, F3, 54) (dual of [211, 72, 55]-code) | [i] | ||
| 25 | Linear OA(3140, 215, F3, 54) (dual of [215, 75, 55]-code) | [i] | ||
| 26 | Linear OA(3141, 219, F3, 54) (dual of [219, 78, 55]-code) | [i] | ||
| 27 | Linear OA(3142, 223, F3, 54) (dual of [223, 81, 55]-code) | [i] | ||
| 28 | Linear OA(3143, 227, F3, 54) (dual of [227, 84, 55]-code) | [i] | ||
| 29 | Linear OA(3144, 231, F3, 54) (dual of [231, 87, 55]-code) | [i] | ||
| 30 | Linear OA(3145, 235, F3, 54) (dual of [235, 90, 55]-code) | [i] | ||
| 31 | Linear OA(3149, 253, F3, 54) (dual of [253, 104, 55]-code) | [i] | ||
| 32 | Linear OA(3150, 258, F3, 54) (dual of [258, 108, 55]-code) | [i] | ||
| 33 | Linear OA(3159, 305, F3, 54) (dual of [305, 146, 55]-code) | [i] | ||
| 34 | Linear OA(3160, 311, F3, 54) (dual of [311, 151, 55]-code) | [i] | ||
| 35 | Linear OA(3161, 317, F3, 54) (dual of [317, 156, 55]-code) | [i] | ||
| 36 | Linear OA(3162, 323, F3, 54) (dual of [323, 161, 55]-code) | [i] | ||
| 37 | Linear OA(3163, 329, F3, 54) (dual of [329, 166, 55]-code) | [i] | ||
| 38 | Linear OA(3167, 355, F3, 54) (dual of [355, 188, 55]-code) | [i] | ||
| 39 | Linear OA(3168, 362, F3, 54) (dual of [362, 194, 55]-code) | [i] | ||
| 40 | Linear OA(3169, 369, F3, 54) (dual of [369, 200, 55]-code) | [i] | ||
| 41 | Linear OA(3172, 391, F3, 54) (dual of [391, 219, 55]-code) | [i] | ||
| 42 | Linear OA(3178, 439, F3, 54) (dual of [439, 261, 55]-code) | [i] | ||
| 43 | Linear OA(3183, 484, F3, 54) (dual of [484, 301, 55]-code) | [i] | ||
| 44 | Linear OA(3188, 534, F3, 54) (dual of [534, 346, 55]-code) | [i] | ||
| 45 | Linear OA(3197, 638, F3, 54) (dual of [638, 441, 55]-code) | [i] | ||
| 46 | Linear OA(3198, 651, F3, 54) (dual of [651, 453, 55]-code) | [i] | ||
| 47 | Linear OA(3199, 664, F3, 54) (dual of [664, 465, 55]-code) | [i] | ||
| 48 | Linear OA(3201, 691, F3, 54) (dual of [691, 490, 55]-code) | [i] | ||
| 49 | Linear OA(3202, 705, F3, 54) (dual of [705, 503, 55]-code) | [i] | ||
| 50 | Linear OA(3203, 719, F3, 54) (dual of [719, 516, 55]-code) | [i] | ||
| 51 | Linear OA(3210, 827, F3, 54) (dual of [827, 617, 55]-code) | [i] | ||
| 52 | Linear OA(3211, 844, F3, 54) (dual of [844, 633, 55]-code) | [i] | ||
| 53 | Linear OA(3212, 861, F3, 54) (dual of [861, 649, 55]-code) | [i] | ||
| 54 | Linear OA(3216, 933, F3, 54) (dual of [933, 717, 55]-code) | [i] | ||
| 55 | Linear OA(3217, 952, F3, 54) (dual of [952, 735, 55]-code) | [i] | ||
| 56 | Linear OA(3221, 1032, F3, 54) (dual of [1032, 811, 55]-code) | [i] | ||
| 57 | Linear OA(3222, 1053, F3, 54) (dual of [1053, 831, 55]-code) | [i] | ||
| 58 | Linear OA(3227, 1165, F3, 54) (dual of [1165, 938, 55]-code) | [i] | ||
| 59 | Linear OA(3228, 1189, F3, 54) (dual of [1189, 961, 55]-code) | [i] | ||
| 60 | Linear OA(3230, 1238, F3, 54) (dual of [1238, 1008, 55]-code) | [i] | ||
| 61 | Linear OA(3240, 1517, F3, 54) (dual of [1517, 1277, 55]-code) | [i] | ||