Information on Result #701113
Linear OA(462, 63, F4, 62) (dual of [63, 1, 63]-code or 63-arc in PG(61,4)), using the primitive cyclic code C(A) with length 63 = 43−1, defining set A = {0,1,2,3,5,6,7,9,10,11,13,14,15,21,22,23,26,27,30,31,43,47}, and minimum distance d ≥ |{1,23,45,…,20}|+1 = 63 (BCH-bound)
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(462, 63, F4, 61) (dual of [63, 1, 62]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(462, 63, F4, 60) (dual of [63, 1, 61]-code) | [i] | ||
| 3 | Linear OA(462, 63, F4, 59) (dual of [63, 1, 60]-code) | [i] | ||
| 4 | Linear OA(462, 63, F4, 58) (dual of [63, 1, 59]-code) | [i] | ||
| 5 | Linear OA(462, 63, F4, 57) (dual of [63, 1, 58]-code) | [i] | ||
| 6 | Linear OA(462, 63, F4, 56) (dual of [63, 1, 57]-code) | [i] | ||
| 7 | Linear OA(462, 63, F4, 55) (dual of [63, 1, 56]-code) | [i] | ||
| 8 | Linear OA(462, 63, F4, 54) (dual of [63, 1, 55]-code) | [i] | ||
| 9 | Linear OA(462, 63, F4, 53) (dual of [63, 1, 54]-code) | [i] | ||
| 10 | Linear OA(462, 63, F4, 52) (dual of [63, 1, 53]-code) | [i] | ||
| 11 | Linear OA(462, 63, F4, 51) (dual of [63, 1, 52]-code) | [i] | ||
| 12 | Linear OA(4180, 189, F4, 125) (dual of [189, 9, 126]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(4120, 152, F4, 62) (dual of [152, 32, 63]-code) | [i] | Varšamov–Edel Lengthening | |
| 14 | Linear OA(4129, 179, F4, 62) (dual of [179, 50, 63]-code) | [i] | ||
| 15 | Linear OA(4133, 193, F4, 62) (dual of [193, 60, 63]-code) | [i] | ||
| 16 | Linear OA(4141, 225, F4, 62) (dual of [225, 84, 63]-code) | [i] | ||
| 17 | Linear OA(4143, 234, F4, 62) (dual of [234, 91, 63]-code) | [i] | ||
| 18 | Linear OA(4158, 316, F4, 62) (dual of [316, 158, 63]-code) | [i] | ||
| 19 | Linear OA(4165, 365, F4, 62) (dual of [365, 200, 63]-code) | [i] | ||
| 20 | Linear OA(4179, 490, F4, 62) (dual of [490, 311, 63]-code) | [i] | ||
| 21 | Linear OA(4185, 557, F4, 62) (dual of [557, 372, 63]-code) | [i] | ||
| 22 | Linear OA(4197, 722, F4, 62) (dual of [722, 525, 63]-code) | [i] | ||
| 23 | Linear OA(4198, 738, F4, 62) (dual of [738, 540, 63]-code) | [i] | ||
| 24 | Linear OA(4199, 754, F4, 62) (dual of [754, 555, 63]-code) | [i] | ||
| 25 | Linear OA(4202, 805, F4, 62) (dual of [805, 603, 63]-code) | [i] | ||
| 26 | Linear OA(4203, 823, F4, 62) (dual of [823, 620, 63]-code) | [i] | ||
| 27 | Linear OA(4204, 841, F4, 62) (dual of [841, 637, 63]-code) | [i] | ||
| 28 | Linear OA(4215, 1071, F4, 62) (dual of [1071, 856, 63]-code) | [i] | ||
| 29 | Linear OA(4216, 1095, F4, 62) (dual of [1095, 879, 63]-code) | [i] | ||
| 30 | Linear OA(4219, 1170, F4, 62) (dual of [1170, 951, 63]-code) | [i] | ||
| 31 | Linear OA(4221, 1223, F4, 62) (dual of [1223, 1002, 63]-code) | [i] | ||
| 32 | Linear OA(468, 75, F4, 50) (dual of [75, 7, 51]-code) | [i] | ✔ | Construction XX with Cyclic Codes |