Information on Result #616274
Linear OA(1656, 1048576, F16, 12) (dual of [1048576, 1048520, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1662, 1048593, F16, 12) (dual of [1048593, 1048531, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1663, 1048600, F16, 12) (dual of [1048600, 1048537, 13]-code) | [i] | ||
| 3 | Linear OA(1664, 1048609, F16, 12) (dual of [1048609, 1048545, 13]-code) | [i] | ||
| 4 | Linear OA(1665, 1048614, F16, 12) (dual of [1048614, 1048549, 13]-code) | [i] | ||
| 5 | Linear OA(1666, 1048661, F16, 12) (dual of [1048661, 1048595, 13]-code) | [i] | ||
| 6 | Linear OA(1665, 1048586, F16, 12) (dual of [1048586, 1048521, 13]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(1666, 1048610, F16, 12) (dual of [1048610, 1048544, 13]-code) | [i] | ||
| 8 | Linear OA(1661, 1048581, F16, 13) (dual of [1048581, 1048520, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(1656, 1048581, F16, 12) (dual of [1048581, 1048525, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(1667, 1048587, F16, 14) (dual of [1048587, 1048520, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(1657, 1048587, F16, 12) (dual of [1048587, 1048530, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(1673, 1048593, F16, 15) (dual of [1048593, 1048520, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(1658, 1048593, F16, 12) (dual of [1048593, 1048535, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(1681, 1048600, F16, 17) (dual of [1048600, 1048519, 18]-code) | [i] | ✔ | |
| 15 | Linear OA(1682, 1048602, F16, 17) (dual of [1048602, 1048520, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(1680, 1048600, F16, 16) (dual of [1048600, 1048520, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(1660, 1048600, F16, 12) (dual of [1048600, 1048540, 13]-code) | [i] | ✔ | |
| 18 | Linear OA(1688, 1048608, F16, 18) (dual of [1048608, 1048520, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(1662, 1048607, F16, 12) (dual of [1048607, 1048545, 13]-code) | [i] | ✔ | |
| 20 | Linear OA(1695, 1048614, F16, 19) (dual of [1048614, 1048519, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(1696, 1048616, F16, 19) (dual of [1048616, 1048520, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(1663, 1048613, F16, 12) (dual of [1048613, 1048550, 13]-code) | [i] | ✔ | |
| 23 | Linear OA(16102, 1048622, F16, 20) (dual of [1048622, 1048520, 21]-code) | [i] | ✔ | |
| 24 | Linear OA(16109, 1048627, F16, 21) (dual of [1048627, 1048518, 22]-code) | [i] | ✔ | |
| 25 | Linear OA(16110, 1048630, F16, 21) (dual of [1048630, 1048520, 22]-code) | [i] | ✔ | |
| 26 | Linear OA(16116, 1048636, F16, 22) (dual of [1048636, 1048520, 23]-code) | [i] | ✔ | |
| 27 | Linear OA(16122, 1048641, F16, 23) (dual of [1048641, 1048519, 24]-code) | [i] | ✔ | |
| 28 | Linear OA(16123, 1048643, F16, 23) (dual of [1048643, 1048520, 24]-code) | [i] | ✔ | |
| 29 | Linear OA(16130, 1048650, F16, 24) (dual of [1048650, 1048520, 25]-code) | [i] | ✔ | |
| 30 | Linear OA(16109, 1048629, F16, 21) (dual of [1048629, 1048520, 22]-code) | [i] | ✔ | |
| 31 | Linear OA(1681, 1048601, F16, 17) (dual of [1048601, 1048520, 18]-code) | [i] | ✔ | |
| 32 | Linear OA(1681, 1048602, F16, 16) (dual of [1048602, 1048521, 17]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 33 | Linear OA(1661, 1048602, F16, 12) (dual of [1048602, 1048541, 13]-code) | [i] | ✔ | |
| 34 | Linear OA(1672, 1048593, F16, 14) (dual of [1048593, 1048521, 15]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |