Information on Result #620161
Linear OA(48, 17, F4, 6) (dual of [17, 9, 7]-code), using the BCH-code C(I) with length 17 | 44−1, defining interval I = {1,4,7,…,16}, and designed minimum distance d ≥ |I|+1 = 7
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
- Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(216, 34, F2, 6) (dual of [34, 18, 7]-code) | [i] | Trace Code | |
| 2 | Linear OA(454, 1041, F4, 13) (dual of [1041, 987, 14]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(472, 16401, F4, 13) (dual of [16401, 16329, 14]-code) | [i] | ||
| 4 | Linear OA(481, 65553, F4, 13) (dual of [65553, 65472, 14]-code) | [i] | ||
| 5 | Linear OA(490, 262161, F4, 13) (dual of [262161, 262071, 14]-code) | [i] | ||
| 6 | Linear OA(499, 1048593, F4, 13) (dual of [1048593, 1048494, 14]-code) | [i] | ||
| 7 | Linear OA(4108, 4194321, F4, 13) (dual of [4194321, 4194213, 14]-code) | [i] | ||
| 8 | Linear OA(49, 17, F4, 7) (dual of [17, 8, 8]-code) | [i] | Dual Code (with Bound on d by Construction Y1) | |
| 9 | Linear OA(4113, 274, F4, 36) (dual of [274, 161, 37]-code) | [i] | Construction X with Cyclic Codes | |
| 10 | Linear OA(4105, 274, F4, 34) (dual of [274, 169, 35]-code) | [i] | ||
| 11 | Linear OA(458, 80, F4, 30) (dual of [80, 22, 31]-code) | [i] | ||
| 12 | Linear OA(457, 80, F4, 29) (dual of [80, 23, 30]-code) | [i] | ||
| 13 | Linear OA(464, 81, F4, 34) (dual of [81, 17, 35]-code) | [i] | Construction XX with Cyclic Codes | |
| 14 | Linear OA(458, 81, F4, 30) (dual of [81, 23, 31]-code) | [i] | ||
| 15 | Linear OA(4118, 281, F4, 39) (dual of [281, 163, 40]-code) | [i] | ||
| 16 | Linear OA(4125, 288, F4, 41) (dual of [288, 163, 42]-code) | [i] | ||
| 17 | Linear OA(4152, 278, F4, 54) (dual of [278, 126, 55]-code) | [i] | ||
| 18 | Linear OA(4151, 276, F4, 54) (dual of [276, 125, 55]-code) | [i] | ||
| 19 | Linear OA(4255, 1047, F4, 70) (dual of [1047, 792, 71]-code) | [i] | ||
| 20 | Linear OA(4254, 1045, F4, 70) (dual of [1045, 791, 71]-code) | [i] | ||
| 21 | Linear OA(4260, 1047, F4, 71) (dual of [1047, 787, 72]-code) | [i] | ||
| 22 | Linear OA(4259, 1045, F4, 71) (dual of [1045, 786, 72]-code) | [i] | ||
| 23 | Linear OA(4260, 1051, F4, 71) (dual of [1051, 791, 72]-code) | [i] | ||
| 24 | Linear OA(4254, 1041, F4, 70) (dual of [1041, 787, 71]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 25 | Linear OA(4249, 1041, F4, 69) (dual of [1041, 792, 70]-code) | [i] | ||
| 26 | Linear OA(4200, 273, F4, 94) (dual of [273, 73, 95]-code) | [i] | ||
| 27 | Linear OA(4151, 273, F4, 54) (dual of [273, 122, 55]-code) | [i] | ||
| 28 | Linear OA(4147, 273, F4, 53) (dual of [273, 126, 54]-code) | [i] | ||
| 29 | Linear OA(445, 81, F4, 20) (dual of [81, 36, 21]-code) | [i] | ||
| 30 | Linear OA(457, 86, F4, 26) (dual of [86, 29, 27]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |