Information on Result #611606
Linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(39, 12, F3, 7) (dual of [12, 3, 8]-code) | [i] | Truncation | |
| 2 | Linear OA(38, 11, F3, 6) (dual of [11, 3, 7]-code) | [i] | ||
| 3 | Linear OA(3244, 247, F3, 170) (dual of [247, 3, 171]-code) | [i] | Repeating Each Code Word | |
| 4 | Linear OA(3231, 234, F3, 161) (dual of [234, 3, 162]-code) | [i] | ||
| 5 | Linear OA(3218, 221, F3, 152) (dual of [221, 3, 153]-code) | [i] | ||
| 6 | Linear OA(3205, 208, F3, 143) (dual of [208, 3, 144]-code) | [i] | ||
| 7 | Linear OA(3192, 195, F3, 134) (dual of [195, 3, 135]-code) | [i] | ||
| 8 | Linear OA(3179, 182, F3, 125) (dual of [182, 3, 126]-code) | [i] | ||
| 9 | Linear OA(3166, 169, F3, 116) (dual of [169, 3, 117]-code) | [i] | ||
| 10 | Linear OA(3153, 156, F3, 107) (dual of [156, 3, 108]-code) | [i] | ||
| 11 | Linear OA(3140, 143, F3, 98) (dual of [143, 3, 99]-code) | [i] | ||
| 12 | Linear OA(3127, 130, F3, 89) (dual of [130, 3, 90]-code) | [i] | ||
| 13 | Linear OA(3114, 117, F3, 80) (dual of [117, 3, 81]-code) | [i] | ||
| 14 | Linear OA(3101, 104, F3, 71) (dual of [104, 3, 72]-code) | [i] | ||
| 15 | Linear OA(388, 91, F3, 62) (dual of [91, 3, 63]-code) | [i] | ||
| 16 | Linear OA(375, 78, F3, 53) (dual of [78, 3, 54]-code) | [i] | ||
| 17 | Linear OA(362, 65, F3, 44) (dual of [65, 3, 45]-code) | [i] | ||
| 18 | Linear OA(349, 52, F3, 35) (dual of [52, 3, 36]-code) | [i] | ||
| 19 | Linear OA(323, 26, F3, 17) (dual of [26, 3, 18]-code) | [i] | ||
| 20 | Linear OA(388, 2200, F3, 17) (dual of [2200, 2112, 18]-code) | [i] | (u, u+v)-Construction | |
| 21 | Linear OA(3110, 19696, F3, 17) (dual of [19696, 19586, 18]-code) | [i] | ||
| 22 | Linear OA(3121, 59062, F3, 17) (dual of [59062, 58941, 18]-code) | [i] | ||
| 23 | Linear OA(3132, 177160, F3, 17) (dual of [177160, 177028, 18]-code) | [i] | ||
| 24 | Linear OA(3143, 531454, F3, 17) (dual of [531454, 531311, 18]-code) | [i] | ||
| 25 | Linear OA(3154, 1594336, F3, 17) (dual of [1594336, 1594182, 18]-code) | [i] | ||
| 26 | Linear OA(3165, 4782982, F3, 17) (dual of [4782982, 4782817, 18]-code) | [i] | ||
| 27 | Linear OA(3189, 195, F3, 125) (dual of [195, 6, 126]-code) | [i] | Concatenation of Two Codes | |
| 28 | Linear OA(3212, 221, F3, 134) (dual of [221, 9, 135]-code) | [i] | ||
| 29 | Linear OA(3215, 221, F3, 143) (dual of [221, 6, 144]-code) | [i] | ||
| 30 | Linear OA(3248, 260, F3, 152) (dual of [260, 12, 153]-code) | [i] | ||
| 31 | Linear OA(329, 38, F3, 17) (dual of [38, 9, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 32 | Linear OA(311, 15, F3, 8) (dual of [15, 4, 9]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 33 | Linear OA(3118, 126, F3, 74) (dual of [126, 8, 75]-code) | [i] | Construction XX with Cyclic Codes | |
| 34 | Linear OA(3132, 145, F3, 74) (dual of [145, 13, 75]-code) | [i] | ||
| 35 | Linear OA(3247, 256, F3, 161) (dual of [256, 9, 162]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 36 | Linear OA(3126, 134, F3, 80) (dual of [134, 8, 81]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 37 | Linear OA(374, 93, F3, 36) (dual of [93, 19, 37]-code) | [i] | Construction X with Varšamov Bound | |
| 38 | Linear OA(374, 92, F3, 37) (dual of [92, 18, 38]-code) | [i] | ||
| 39 | Linear OA(375, 94, F3, 37) (dual of [94, 19, 38]-code) | [i] | ||
| 40 | Linear OA(375, 93, F3, 38) (dual of [93, 18, 39]-code) | [i] | ||
| 41 | Linear OA(377, 96, F3, 38) (dual of [96, 19, 39]-code) | [i] | ||
| 42 | Linear OA(377, 95, F3, 39) (dual of [95, 18, 40]-code) | [i] | ||
| 43 | Linear OA(379, 98, F3, 39) (dual of [98, 19, 40]-code) | [i] | ||
| 44 | Linear OA(381, 100, F3, 40) (dual of [100, 19, 41]-code) | [i] | ||
| 45 | Linear OA(382, 99, F3, 42) (dual of [99, 17, 43]-code) | [i] | ||
| 46 | Linear OA(3112, 135, F3, 54) (dual of [135, 23, 55]-code) | [i] | ||
| 47 | Linear OA(3112, 134, F3, 55) (dual of [134, 22, 56]-code) | [i] | ||
| 48 | Linear OA(3113, 136, F3, 55) (dual of [136, 23, 56]-code) | [i] | ||
| 49 | Linear OA(3113, 135, F3, 56) (dual of [135, 22, 57]-code) | [i] | ||
| 50 | Linear OA(3114, 137, F3, 56) (dual of [137, 23, 57]-code) | [i] | ||
| 51 | Linear OA(3134, 153, F3, 68) (dual of [153, 19, 69]-code) | [i] | ||
| 52 | Linear OA(3138, 157, F3, 70) (dual of [157, 19, 71]-code) | [i] | ||
| 53 | Linear OA(3171, 193, F3, 87) (dual of [193, 22, 88]-code) | [i] | ||
| 54 | Linear OA(3172, 194, F3, 88) (dual of [194, 22, 89]-code) | [i] | ||
| 55 | Linear OA(3175, 197, F3, 90) (dual of [197, 22, 91]-code) | [i] | ||
| 56 | Linear OA(3197, 232, F3, 94) (dual of [232, 35, 95]-code) | [i] | ||
| 57 | Linear OA(3197, 231, F3, 95) (dual of [231, 34, 96]-code) | [i] | ||
| 58 | Linear OA(3198, 233, F3, 95) (dual of [233, 35, 96]-code) | [i] | ||
| 59 | Linear OA(3198, 232, F3, 96) (dual of [232, 34, 97]-code) | [i] | ||
| 60 | Linear OA(3199, 234, F3, 96) (dual of [234, 35, 97]-code) | [i] | ||
| 61 | Linear OA(3199, 233, F3, 97) (dual of [233, 34, 98]-code) | [i] | ||
| 62 | Linear OA(3201, 236, F3, 97) (dual of [236, 35, 98]-code) | [i] | ||
| 63 | Linear OA(3201, 235, F3, 98) (dual of [235, 34, 99]-code) | [i] | ||
| 64 | Linear OA(3203, 238, F3, 98) (dual of [238, 35, 99]-code) | [i] | ||
| 65 | Linear OA(3205, 240, F3, 99) (dual of [240, 35, 100]-code) | [i] | ||
| 66 | Linear OA(3114, 138, F3, 55) (dual of [138, 24, 56]-code) | [i] | ||
| 67 | Linear OA(3115, 139, F3, 56) (dual of [139, 24, 57]-code) | [i] | ||
| 68 | Linear OA(3121, 144, F3, 59) (dual of [144, 23, 60]-code) | [i] | ||
| 69 | Linear OA(3121, 143, F3, 60) (dual of [143, 22, 61]-code) | [i] | ||
| 70 | Linear OA(3122, 145, F3, 60) (dual of [145, 23, 61]-code) | [i] | ||
| 71 | Linear OA(3122, 144, F3, 61) (dual of [144, 22, 62]-code) | [i] | ||
| 72 | Linear OA(3124, 147, F3, 61) (dual of [147, 23, 62]-code) | [i] | ||
| 73 | Linear OA(3124, 146, F3, 62) (dual of [146, 22, 63]-code) | [i] | ||
| 74 | Linear OA(3126, 149, F3, 62) (dual of [149, 23, 63]-code) | [i] | ||
| 75 | Linear OOA(310, 6, F3, 2, 8) (dual of [(6, 2), 2, 9]-NRT-code) | [i] | OOA Folding | |