Information on Result #604439
Linear OA(353, 54, F3, 53) (dual of [54, 1, 54]-code or 54-arc in PG(52,3)), using dual of repetition code with length 54
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(353, 54, F3, 52) (dual of [54, 1, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(353, 54, F3, 51) (dual of [54, 1, 52]-code) | [i] | ||
| 3 | Linear OA(353, 54, F3, 50) (dual of [54, 1, 51]-code) | [i] | ||
| 4 | Linear OA(353, 54, F3, 49) (dual of [54, 1, 50]-code) | [i] | ||
| 5 | Linear OA(353, 54, F3, 48) (dual of [54, 1, 49]-code) | [i] | ||
| 6 | Linear OA(353, 54, F3, 47) (dual of [54, 1, 48]-code) | [i] | ||
| 7 | Linear OA(353, 54, F3, 46) (dual of [54, 1, 47]-code) | [i] | ||
| 8 | Linear OA(353, 54, F3, 45) (dual of [54, 1, 46]-code) | [i] | ||
| 9 | Linear OA(353, 54, F3, 44) (dual of [54, 1, 45]-code) | [i] | ||
| 10 | Linear OA(353, 54, F3, 43) (dual of [54, 1, 44]-code) | [i] | ||
| 11 | Linear OA(353, 54, F3, 42) (dual of [54, 1, 43]-code) | [i] | ||
| 12 | Linear OA(353, 54, F3, 41) (dual of [54, 1, 42]-code) | [i] | ||
| 13 | Linear OA(3122, 160, F3, 53) (dual of [160, 38, 54]-code) | [i] | Varšamov–Edel Lengthening | |
| 14 | Linear OA(3123, 163, F3, 53) (dual of [163, 40, 54]-code) | [i] | ||
| 15 | Linear OA(3124, 166, F3, 53) (dual of [166, 42, 54]-code) | [i] | ||
| 16 | Linear OA(3125, 169, F3, 53) (dual of [169, 44, 54]-code) | [i] | ||
| 17 | Linear OA(3126, 172, F3, 53) (dual of [172, 46, 54]-code) | [i] | ||
| 18 | Linear OA(3127, 175, F3, 53) (dual of [175, 48, 54]-code) | [i] | ||
| 19 | Linear OA(3128, 178, F3, 53) (dual of [178, 50, 54]-code) | [i] | ||
| 20 | Linear OA(3129, 181, F3, 53) (dual of [181, 52, 54]-code) | [i] | ||
| 21 | Linear OA(3135, 202, F3, 53) (dual of [202, 67, 54]-code) | [i] | ||
| 22 | Linear OA(3143, 234, F3, 53) (dual of [234, 91, 54]-code) | [i] | ||
| 23 | Linear OA(3145, 243, F3, 53) (dual of [243, 98, 54]-code) | [i] | ||
| 24 | Linear OA(3148, 257, F3, 53) (dual of [257, 109, 54]-code) | [i] | ||
| 25 | Linear OA(3149, 262, F3, 53) (dual of [262, 113, 54]-code) | [i] | ||
| 26 | Linear OA(3150, 267, F3, 53) (dual of [267, 117, 54]-code) | [i] | ||
| 27 | Linear OA(3155, 294, F3, 53) (dual of [294, 139, 54]-code) | [i] | ||
| 28 | Linear OA(3163, 343, F3, 53) (dual of [343, 180, 54]-code) | [i] | ||
| 29 | Linear OA(3164, 350, F3, 53) (dual of [350, 186, 54]-code) | [i] | ||
| 30 | Linear OA(3165, 357, F3, 53) (dual of [357, 192, 54]-code) | [i] | ||
| 31 | Linear OA(3166, 364, F3, 53) (dual of [364, 198, 54]-code) | [i] | ||
| 32 | Linear OA(3167, 371, F3, 53) (dual of [371, 204, 54]-code) | [i] | ||
| 33 | Linear OA(3176, 443, F3, 53) (dual of [443, 267, 54]-code) | [i] | ||
| 34 | Linear OA(3177, 452, F3, 53) (dual of [452, 275, 54]-code) | [i] | ||
| 35 | Linear OA(3178, 461, F3, 53) (dual of [461, 283, 54]-code) | [i] | ||
| 36 | Linear OA(3186, 541, F3, 53) (dual of [541, 355, 54]-code) | [i] | ||
| 37 | Linear OA(3187, 552, F3, 53) (dual of [552, 365, 54]-code) | [i] | ||
| 38 | Linear OA(3193, 623, F3, 53) (dual of [623, 430, 54]-code) | [i] | ||
| 39 | Linear OA(3200, 718, F3, 53) (dual of [718, 518, 54]-code) | [i] | ||
| 40 | Linear OA(3201, 733, F3, 53) (dual of [733, 532, 54]-code) | [i] | ||
| 41 | Linear OA(3202, 748, F3, 53) (dual of [748, 546, 54]-code) | [i] | ||
| 42 | Linear OA(3204, 779, F3, 53) (dual of [779, 575, 54]-code) | [i] | ||
| 43 | Linear OA(3205, 795, F3, 53) (dual of [795, 590, 54]-code) | [i] | ||
| 44 | Linear OA(3214, 956, F3, 53) (dual of [956, 742, 54]-code) | [i] | ||
| 45 | Linear OA(3215, 976, F3, 53) (dual of [976, 761, 54]-code) | [i] | ||
| 46 | Linear OA(3217, 1017, F3, 53) (dual of [1017, 800, 54]-code) | [i] | ||
| 47 | Linear OA(3218, 1038, F3, 53) (dual of [1038, 820, 54]-code) | [i] | ||
| 48 | Linear OA(3227, 1250, F3, 53) (dual of [1250, 1023, 54]-code) | [i] | ||
| 49 | Linear OA(3228, 1276, F3, 53) (dual of [1276, 1048, 54]-code) | [i] | ||
| 50 | Linear OA(3230, 1330, F3, 53) (dual of [1330, 1100, 54]-code) | [i] | ||
| 51 | Linear OA(3231, 1358, F3, 53) (dual of [1358, 1127, 54]-code) | [i] | ||
| 52 | Linear OA(3234, 1445, F3, 53) (dual of [1445, 1211, 54]-code) | [i] | ||
| 53 | Linear OA(3238, 1570, F3, 53) (dual of [1570, 1332, 54]-code) | [i] | ||
| 54 | Linear OA(3239, 1603, F3, 53) (dual of [1603, 1364, 54]-code) | [i] | ||
| 55 | Linear OA(3241, 1671, F3, 53) (dual of [1671, 1430, 54]-code) | [i] | ||
| 56 | Linear OA(3243, 1742, F3, 53) (dual of [1742, 1499, 54]-code) | [i] | ||