Information on Result #677819
Linear OA(351, 52, F3, 51) (dual of [52, 1, 52]-code or 52-arc in PG(50,3)), using the narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(351, 52, F3, 50) (dual of [52, 1, 51]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(351, 52, F3, 49) (dual of [52, 1, 50]-code) | [i] | ||
| 3 | Linear OA(351, 52, F3, 48) (dual of [52, 1, 49]-code) | [i] | ||
| 4 | Linear OA(351, 52, F3, 47) (dual of [52, 1, 48]-code) | [i] | ||
| 5 | Linear OA(351, 52, F3, 46) (dual of [52, 1, 47]-code) | [i] | ||
| 6 | Linear OA(351, 52, F3, 45) (dual of [52, 1, 46]-code) | [i] | ||
| 7 | Linear OA(351, 52, F3, 44) (dual of [52, 1, 45]-code) | [i] | ||
| 8 | Linear OA(351, 52, F3, 43) (dual of [52, 1, 44]-code) | [i] | ||
| 9 | Linear OA(351, 52, F3, 42) (dual of [52, 1, 43]-code) | [i] | ||
| 10 | Linear OA(351, 52, F3, 41) (dual of [52, 1, 42]-code) | [i] | ||
| 11 | Linear OA(351, 52, F3, 40) (dual of [52, 1, 41]-code) | [i] | ||
| 12 | Linear OA(351, 52, F3, 39) (dual of [52, 1, 40]-code) | [i] | ||
| 13 | Linear OA(325, 26, F3, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,3)) | [i] | ✔ | Contraction (with Narrow-Sense BCH-Code) |
| 14 | Linear OA(3112, 140, F3, 51) (dual of [140, 28, 52]-code) | [i] | Varšamov–Edel Lengthening | |
| 15 | Linear OA(3114, 145, F3, 51) (dual of [145, 31, 52]-code) | [i] | ||
| 16 | Linear OA(3119, 159, F3, 51) (dual of [159, 40, 52]-code) | [i] | ||
| 17 | Linear OA(3120, 162, F3, 51) (dual of [162, 42, 52]-code) | [i] | ||
| 18 | Linear OA(3121, 165, F3, 51) (dual of [165, 44, 52]-code) | [i] | ||
| 19 | Linear OA(3122, 168, F3, 51) (dual of [168, 46, 52]-code) | [i] | ||
| 20 | Linear OA(3123, 171, F3, 51) (dual of [171, 48, 52]-code) | [i] | ||
| 21 | Linear OA(3130, 195, F3, 51) (dual of [195, 65, 52]-code) | [i] | ||
| 22 | Linear OA(3131, 199, F3, 51) (dual of [199, 68, 52]-code) | [i] | ||
| 23 | Linear OA(3132, 203, F3, 51) (dual of [203, 71, 52]-code) | [i] | ||
| 24 | Linear OA(3133, 207, F3, 51) (dual of [207, 74, 52]-code) | [i] | ||
| 25 | Linear OA(3134, 211, F3, 51) (dual of [211, 77, 52]-code) | [i] | ||
| 26 | Linear OA(3135, 215, F3, 51) (dual of [215, 80, 52]-code) | [i] | ||
| 27 | Linear OA(3136, 219, F3, 51) (dual of [219, 83, 52]-code) | [i] | ||
| 28 | Linear OA(3139, 232, F3, 51) (dual of [232, 93, 52]-code) | [i] | ||
| 29 | Linear OA(3143, 251, F3, 51) (dual of [251, 108, 52]-code) | [i] | ||
| 30 | Linear OA(3144, 256, F3, 51) (dual of [256, 112, 52]-code) | [i] | ||
| 31 | Linear OA(3155, 319, F3, 51) (dual of [319, 164, 52]-code) | [i] | ||
| 32 | Linear OA(3158, 339, F3, 51) (dual of [339, 181, 52]-code) | [i] | ||
| 33 | Linear OA(3159, 346, F3, 51) (dual of [346, 187, 52]-code) | [i] | ||
| 34 | Linear OA(3160, 353, F3, 51) (dual of [353, 193, 52]-code) | [i] | ||
| 35 | Linear OA(3164, 383, F3, 51) (dual of [383, 219, 52]-code) | [i] | ||
| 36 | Linear OA(3165, 391, F3, 51) (dual of [391, 226, 52]-code) | [i] | ||
| 37 | Linear OA(3168, 416, F3, 51) (dual of [416, 248, 52]-code) | [i] | ||
| 38 | Linear OA(3174, 471, F3, 51) (dual of [471, 297, 52]-code) | [i] | ||
| 39 | Linear OA(3175, 481, F3, 51) (dual of [481, 306, 52]-code) | [i] | ||
| 40 | Linear OA(3176, 491, F3, 51) (dual of [491, 315, 52]-code) | [i] | ||
| 41 | Linear OA(3178, 512, F3, 51) (dual of [512, 334, 52]-code) | [i] | ||
| 42 | Linear OA(3179, 523, F3, 51) (dual of [523, 344, 52]-code) | [i] | ||
| 43 | Linear OA(3180, 534, F3, 51) (dual of [534, 354, 52]-code) | [i] | ||
| 44 | Linear OA(3181, 545, F3, 51) (dual of [545, 364, 52]-code) | [i] | ||
| 45 | Linear OA(3189, 645, F3, 51) (dual of [645, 456, 52]-code) | [i] | ||
| 46 | Linear OA(3193, 702, F3, 51) (dual of [702, 509, 52]-code) | [i] | ||
| 47 | Linear OA(3194, 717, F3, 51) (dual of [717, 523, 52]-code) | [i] | ||
| 48 | Linear OA(3196, 748, F3, 51) (dual of [748, 552, 52]-code) | [i] | ||
| 49 | Linear OA(3197, 764, F3, 51) (dual of [764, 567, 52]-code) | [i] | ||
| 50 | Linear OA(3203, 868, F3, 51) (dual of [868, 665, 52]-code) | [i] | ||
| 51 | Linear OA(3204, 887, F3, 51) (dual of [887, 683, 52]-code) | [i] | ||
| 52 | Linear OA(3205, 906, F3, 51) (dual of [906, 701, 52]-code) | [i] | ||
| 53 | Linear OA(3208, 966, F3, 51) (dual of [966, 758, 52]-code) | [i] | ||
| 54 | Linear OA(3209, 987, F3, 51) (dual of [987, 778, 52]-code) | [i] | ||
| 55 | Linear OA(3211, 1030, F3, 51) (dual of [1030, 819, 52]-code) | [i] | ||
| 56 | Linear OA(3218, 1197, F3, 51) (dual of [1197, 979, 52]-code) | [i] | ||
| 57 | Linear OA(3219, 1223, F3, 51) (dual of [1223, 1004, 52]-code) | [i] | ||
| 58 | Linear OA(3225, 1392, F3, 51) (dual of [1392, 1167, 52]-code) | [i] | ||
| 59 | Linear OA(3228, 1485, F3, 51) (dual of [1485, 1257, 52]-code) | [i] | ||