Information on Result #677567
Linear OA(373, 80, F3, 49) (dual of [80, 7, 50]-code), using contraction based on linear OA(3153, 160, F3, 99) (dual of [160, 7, 100]-code), using the narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [1,99], and designed minimum distance d ≥ |I|+1 = 100 [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(373, 80, F3, 48) (dual of [80, 7, 49]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3191, 198, F3, 121) (dual of [198, 7, 122]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(3241, 248, F3, 157) (dual of [248, 7, 158]-code) | [i] | ||
| 4 | Linear OA(3173, 180, F3, 112) (dual of [180, 7, 113]-code) | [i] | ||
| 5 | Linear OA(3177, 184, F3, 115) (dual of [184, 7, 116]-code) | [i] | ||
| 6 | Linear OA(3181, 188, F3, 118) (dual of [188, 7, 119]-code) | [i] | ||
| 7 | Linear OA(3185, 192, F3, 121) (dual of [192, 7, 122]-code) | [i] | ||
| 8 | Linear OA(377, 84, F3, 52) (dual of [84, 7, 53]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 9 | Linear OA(374, 85, F3, 45) (dual of [85, 11, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(378, 86, F3, 49) (dual of [86, 8, 50]-code) | [i] | ✔ | |
| 11 | Linear OA(379, 90, F3, 49) (dual of [90, 11, 50]-code) | [i] | ✔ | |
| 12 | Linear OA(3123, 130, F3, 79) (dual of [130, 7, 80]-code) | [i] | ✔ | |
| 13 | Linear OA(3118, 125, F3, 75) (dual of [125, 7, 76]-code) | [i] | ✔ | |
| 14 | Linear OA(3113, 120, F3, 73) (dual of [120, 7, 74]-code) | [i] | ✔ | |
| 15 | Linear OA(3109, 116, F3, 70) (dual of [116, 7, 71]-code) | [i] | ✔ | |
| 16 | Linear OA(3105, 112, F3, 67) (dual of [112, 7, 68]-code) | [i] | ✔ | |
| 17 | Linear OA(3103, 110, F3, 66) (dual of [110, 7, 67]-code) | [i] | ✔ | |
| 18 | Linear OA(399, 106, F3, 64) (dual of [106, 7, 65]-code) | [i] | ✔ | |
| 19 | Linear OA(394, 101, F3, 60) (dual of [101, 7, 61]-code) | [i] | ✔ | |
| 20 | Linear OA(391, 98, F3, 58) (dual of [98, 7, 59]-code) | [i] | ✔ | |
| 21 | Linear OA(385, 92, F3, 55) (dual of [92, 7, 56]-code) | [i] | ✔ | |
| 22 | Linear OA(385, 100, F3, 49) (dual of [100, 15, 50]-code) | [i] | ✔ | |
| 23 | Linear OA(379, 92, F3, 46) (dual of [92, 13, 47]-code) | [i] | ✔ | |
| 24 | Linear OA(381, 96, F3, 46) (dual of [96, 15, 47]-code) | [i] | ✔ | |
| 25 | Linear OA(379, 94, F3, 45) (dual of [94, 15, 46]-code) | [i] | ✔ | |
| 26 | Linear OA(390, 106, F3, 49) (dual of [106, 16, 50]-code) | [i] | ✔ | |
| 27 | Linear OA(385, 101, F3, 48) (dual of [101, 16, 49]-code) | [i] | ✔ | |
| 28 | Linear OA(381, 97, F3, 45) (dual of [97, 16, 46]-code) | [i] | ✔ | |
| 29 | Linear OA(380, 87, F3, 53) (dual of [87, 7, 54]-code) | [i] | ✔ | |
| 30 | Linear OA(378, 85, F3, 53) (dual of [85, 7, 54]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 31 | Linear OA(386, 101, F3, 50) (dual of [101, 15, 51]-code) | [i] | ✔ | |
| 32 | Linear OA(382, 97, F3, 47) (dual of [97, 15, 48]-code) | [i] | ✔ | |
| 33 | Linear OA(380, 95, F3, 46) (dual of [95, 15, 47]-code) | [i] | ✔ | |
| 34 | Linear OA(381, 95, F3, 47) (dual of [95, 14, 48]-code) | [i] | ✔ | |
| 35 | Linear OA(380, 93, F3, 47) (dual of [93, 13, 48]-code) | [i] | ✔ | |
| 36 | Linear OA(380, 91, F3, 50) (dual of [91, 11, 51]-code) | [i] | ✔ | |
| 37 | Linear OA(375, 86, F3, 46) (dual of [86, 11, 47]-code) | [i] | ✔ | |
| 38 | Linear OA(376, 85, F3, 47) (dual of [85, 9, 48]-code) | [i] | ✔ | |
| 39 | Linear OA(379, 87, F3, 50) (dual of [87, 8, 51]-code) | [i] | ✔ | |
| 40 | Linear OA(3117, 124, F3, 76) (dual of [124, 7, 77]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 41 | Linear OA(3107, 114, F3, 69) (dual of [114, 7, 70]-code) | [i] | ✔ | |
| 42 | Linear OA(3103, 110, F3, 67) (dual of [110, 7, 68]-code) | [i] | ✔ | |
| 43 | Linear OA(395, 102, F3, 61) (dual of [102, 7, 62]-code) | [i] | ✔ | |
| 44 | Linear OA(389, 96, F3, 58) (dual of [96, 7, 59]-code) | [i] | ✔ | |
| 45 | Linear OA(3112, 118, F3, 73) (dual of [118, 6, 74]-code) | [i] | ✔ | |
| 46 | Linear OA(388, 94, F3, 58) (dual of [94, 6, 59]-code) | [i] | ✔ | |
| 47 | Linear OA(383, 89, F3, 54) (dual of [89, 6, 55]-code) | [i] | ✔ | |
| 48 | Linear OA(385, 95, F3, 51) (dual of [95, 10, 52]-code) | [i] | ✔ | |
| 49 | Linear OA(385, 94, F3, 52) (dual of [94, 9, 53]-code) | [i] | ✔ | |
| 50 | Linear OA(384, 92, F3, 52) (dual of [92, 8, 53]-code) | [i] | ✔ | |
| 51 | Linear OA(382, 90, F3, 51) (dual of [90, 8, 52]-code) | [i] | ✔ | |
| 52 | Linear OA(383, 96, F3, 49) (dual of [96, 13, 50]-code) | [i] | ✔ | |
| 53 | Linear OA(382, 94, F3, 49) (dual of [94, 12, 50]-code) | [i] | ✔ | |
| 54 | Linear OA(377, 89, F3, 45) (dual of [89, 12, 46]-code) | [i] | ✔ | |
| 55 | Linear OA(386, 102, F3, 49) (dual of [102, 16, 50]-code) | [i] | ✔ | |
| 56 | Linear OA(382, 98, F3, 46) (dual of [98, 16, 47]-code) | [i] | ✔ | |
| 57 | Linear OA(379, 95, F3, 44) (dual of [95, 16, 45]-code) | [i] | ✔ | |
| 58 | Linear OOA(373, 40, F3, 2, 49) (dual of [(40, 2), 7, 50]-NRT-code) | [i] | OOA Folding | |
| 59 | Linear OOA(373, 26, F3, 3, 49) (dual of [(26, 3), 5, 50]-NRT-code) | [i] | ||