Information on Result #612710
Linear OA(491, 1048576, F4, 13) (dual of [1048576, 1048485, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(490, 1048575, F4, 12) (dual of [1048575, 1048485, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(497, 1048583, F4, 13) (dual of [1048583, 1048486, 14]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(498, 1048585, F4, 13) (dual of [1048585, 1048487, 14]-code) | [i] | ||
| 4 | Linear OA(499, 1048593, F4, 13) (dual of [1048593, 1048494, 14]-code) | [i] | ||
| 5 | Linear OA(4101, 1048586, F4, 14) (dual of [1048586, 1048485, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(492, 1048587, F4, 13) (dual of [1048587, 1048495, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(4112, 1048597, F4, 15) (dual of [1048597, 1048485, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(492, 1048597, F4, 12) (dual of [1048597, 1048505, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(494, 1048597, F4, 13) (dual of [1048597, 1048503, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(495, 1048600, F4, 13) (dual of [1048600, 1048505, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(4126, 1048611, F4, 17) (dual of [1048611, 1048485, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(496, 1048611, F4, 13) (dual of [1048611, 1048515, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(4138, 1048619, F4, 18) (dual of [1048619, 1048481, 19]-code) | [i] | ✔ | |
| 14 | Linear OA(4139, 1048624, F4, 18) (dual of [1048624, 1048485, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(498, 1048619, F4, 12) (dual of [1048619, 1048521, 13]-code) | [i] | ✔ | |
| 16 | Linear OA(4151, 1048636, F4, 19) (dual of [1048636, 1048485, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(4164, 1048640, F4, 20) (dual of [1048640, 1048476, 21]-code) | [i] | ✔ | |
| 18 | Linear OA(4164, 1048646, F4, 20) (dual of [1048646, 1048482, 21]-code) | [i] | ✔ | |
| 19 | Linear OA(4150, 1048627, F4, 19) (dual of [1048627, 1048477, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(4165, 1048641, F4, 21) (dual of [1048641, 1048476, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(4112, 1048598, F4, 15) (dual of [1048598, 1048486, 16]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(492, 1048598, F4, 12) (dual of [1048598, 1048506, 13]-code) | [i] | ✔ | |
| 23 | Linear OOA(491, 524288, F4, 2, 13) (dual of [(524288, 2), 1048485, 14]-NRT-code) | [i] | OOA Folding | |
| 24 | Linear OOA(491, 349525, F4, 3, 13) (dual of [(349525, 3), 1048484, 14]-NRT-code) | [i] | ||
| 25 | Linear OOA(491, 174762, F4, 13, 13) (dual of [(174762, 13), 2271815, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |