Information on Result #677561
Linear OA(379, 80, F3, 79) (dual of [80, 1, 80]-code or 80-arc in PG(78,3)), using contraction based on linear OA(3159, 160, F3, 159) (dual of [160, 1, 160]-code or 160-arc in PG(158,3)), using the narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [1,159], and designed minimum distance d ≥ |I|+1 = 160 [i]
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(379, 80, F3, 78) (dual of [80, 1, 79]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(379, 80, F3, 77) (dual of [80, 1, 78]-code) | [i] | ||
| 3 | Linear OA(379, 80, F3, 76) (dual of [80, 1, 77]-code) | [i] | ||
| 4 | Linear OA(379, 80, F3, 75) (dual of [80, 1, 76]-code) | [i] | ||
| 5 | Linear OA(379, 80, F3, 74) (dual of [80, 1, 75]-code) | [i] | ||
| 6 | Linear OA(379, 80, F3, 73) (dual of [80, 1, 74]-code) | [i] | ||
| 7 | Linear OA(379, 80, F3, 72) (dual of [80, 1, 73]-code) | [i] | ||
| 8 | Linear OA(379, 80, F3, 71) (dual of [80, 1, 72]-code) | [i] | ||
| 9 | Linear OA(379, 80, F3, 70) (dual of [80, 1, 71]-code) | [i] | ||
| 10 | Linear OA(379, 80, F3, 69) (dual of [80, 1, 70]-code) | [i] | ||
| 11 | Linear OA(379, 80, F3, 68) (dual of [80, 1, 69]-code) | [i] | ||
| 12 | Linear OA(379, 80, F3, 67) (dual of [80, 1, 68]-code) | [i] | ||
| 13 | Linear OA(379, 80, F3, 66) (dual of [80, 1, 67]-code) | [i] | ||
| 14 | Linear OA(379, 80, F3, 65) (dual of [80, 1, 66]-code) | [i] | ||
| 15 | Linear OA(379, 80, F3, 64) (dual of [80, 1, 65]-code) | [i] | ||
| 16 | Linear OA(379, 80, F3, 63) (dual of [80, 1, 64]-code) | [i] | ||
| 17 | Linear OA(379, 80, F3, 62) (dual of [80, 1, 63]-code) | [i] | ||
| 18 | Linear OA(379, 80, F3, 61) (dual of [80, 1, 62]-code) | [i] | ||
| 19 | Linear OA(379, 80, F3, 60) (dual of [80, 1, 61]-code) | [i] | ||
| 20 | Linear OA(3143, 160, F3, 79) (dual of [160, 17, 80]-code) | [i] | (u, u+v)-Construction | |
| 21 | Linear OA(3170, 204, F3, 79) (dual of [204, 34, 80]-code) | [i] | Varšamov–Edel Lengthening | |
| 22 | Linear OA(3173, 211, F3, 79) (dual of [211, 38, 80]-code) | [i] | ||
| 23 | Linear OA(3175, 216, F3, 79) (dual of [216, 41, 80]-code) | [i] | ||
| 24 | Linear OA(3177, 221, F3, 79) (dual of [221, 44, 80]-code) | [i] | ||
| 25 | Linear OA(3179, 226, F3, 79) (dual of [226, 47, 80]-code) | [i] | ||
| 26 | Linear OA(3182, 234, F3, 79) (dual of [234, 52, 80]-code) | [i] | ||
| 27 | Linear OA(3183, 237, F3, 79) (dual of [237, 54, 80]-code) | [i] | ||
| 28 | Linear OA(3187, 248, F3, 79) (dual of [248, 61, 80]-code) | [i] | ||
| 29 | Linear OA(3188, 251, F3, 79) (dual of [251, 63, 80]-code) | [i] | ||
| 30 | Linear OA(3189, 254, F3, 79) (dual of [254, 65, 80]-code) | [i] | ||
| 31 | Linear OA(3190, 257, F3, 79) (dual of [257, 67, 80]-code) | [i] | ||
| 32 | Linear OA(3191, 260, F3, 79) (dual of [260, 69, 80]-code) | [i] | ||
| 33 | Linear OA(3196, 276, F3, 79) (dual of [276, 80, 80]-code) | [i] | ||
| 34 | Linear OA(3202, 297, F3, 79) (dual of [297, 95, 80]-code) | [i] | ||
| 35 | Linear OA(3204, 304, F3, 79) (dual of [304, 100, 80]-code) | [i] | ||
| 36 | Linear OA(3205, 308, F3, 79) (dual of [308, 103, 80]-code) | [i] | ||
| 37 | Linear OA(3206, 312, F3, 79) (dual of [312, 106, 80]-code) | [i] | ||
| 38 | Linear OA(3217, 357, F3, 79) (dual of [357, 140, 80]-code) | [i] | ||
| 39 | Linear OA(3219, 366, F3, 79) (dual of [366, 147, 80]-code) | [i] | ||
| 40 | Linear OA(3223, 385, F3, 79) (dual of [385, 162, 80]-code) | [i] | ||
| 41 | Linear OA(3224, 390, F3, 79) (dual of [390, 166, 80]-code) | [i] | ||
| 42 | Linear OA(3225, 395, F3, 79) (dual of [395, 170, 80]-code) | [i] | ||
| 43 | Linear OA(3226, 400, F3, 79) (dual of [400, 174, 80]-code) | [i] | ||
| 44 | Linear OA(3227, 405, F3, 79) (dual of [405, 178, 80]-code) | [i] | ||
| 45 | Linear OA(3231, 426, F3, 79) (dual of [426, 195, 80]-code) | [i] | ||
| 46 | Linear OA(3233, 437, F3, 79) (dual of [437, 204, 80]-code) | [i] | ||
| 47 | Linear OA(3237, 460, F3, 79) (dual of [460, 223, 80]-code) | [i] | ||
| 48 | Linear OA(3238, 466, F3, 79) (dual of [466, 228, 80]-code) | [i] | ||
| 49 | Linear OA(3239, 472, F3, 79) (dual of [472, 233, 80]-code) | [i] | ||
| 50 | Linear OA(3246, 517, F3, 79) (dual of [517, 271, 80]-code) | [i] | ||
| 51 | Linear OA(380, 85, F3, 54) (dual of [85, 5, 55]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 52 | Linear OA(385, 90, F3, 58) (dual of [90, 5, 59]-code) | [i] | ✔ | |
| 53 | Linear OA(3123, 130, F3, 79) (dual of [130, 7, 80]-code) | [i] | ✔ | |
| 54 | Linear OA(3118, 125, F3, 75) (dual of [125, 7, 76]-code) | [i] | ✔ | |
| 55 | Linear OA(3113, 120, F3, 73) (dual of [120, 7, 74]-code) | [i] | ✔ | |
| 56 | Linear OA(3109, 116, F3, 70) (dual of [116, 7, 71]-code) | [i] | ✔ | |
| 57 | Linear OA(3105, 112, F3, 67) (dual of [112, 7, 68]-code) | [i] | ✔ | |
| 58 | Linear OA(3103, 110, F3, 66) (dual of [110, 7, 67]-code) | [i] | ✔ | |
| 59 | Linear OA(399, 106, F3, 64) (dual of [106, 7, 65]-code) | [i] | ✔ | |
| 60 | Linear OA(394, 101, F3, 60) (dual of [101, 7, 61]-code) | [i] | ✔ | |
| 61 | Linear OA(391, 98, F3, 58) (dual of [98, 7, 59]-code) | [i] | ✔ | |
| 62 | Linear OA(385, 92, F3, 55) (dual of [92, 7, 56]-code) | [i] | ✔ | |
| 63 | Linear OA(3142, 157, F3, 79) (dual of [157, 15, 80]-code) | [i] | ✔ | |
| 64 | Linear OA(3117, 124, F3, 76) (dual of [124, 7, 77]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 65 | Linear OA(3107, 114, F3, 69) (dual of [114, 7, 70]-code) | [i] | ✔ | |
| 66 | Linear OA(3103, 110, F3, 67) (dual of [110, 7, 68]-code) | [i] | ✔ | |
| 67 | Linear OA(395, 102, F3, 61) (dual of [102, 7, 62]-code) | [i] | ✔ | |
| 68 | Linear OA(389, 96, F3, 58) (dual of [96, 7, 59]-code) | [i] | ✔ | |
| 69 | Linear OA(3112, 118, F3, 73) (dual of [118, 6, 74]-code) | [i] | ✔ | |
| 70 | Linear OA(388, 94, F3, 58) (dual of [94, 6, 59]-code) | [i] | ✔ | |
| 71 | Linear OA(383, 89, F3, 54) (dual of [89, 6, 55]-code) | [i] | ✔ | |