Information on Result #699158
Linear OA(8161, 531444, F81, 21) (dual of [531444, 531383, 22]-code), using construction X applied to Ce(20) ⊂ Ce(19) based on
- linear OA(8161, 531441, F81, 21) (dual of [531441, 531380, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(8158, 531441, F81, 20) (dual of [531441, 531383, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(9122, 1062888, F9, 21) (dual of [1062888, 1062766, 22]-code) | [i] | Trace Code | |
| 2 | Linear OA(8171, 531526, F81, 21) (dual of [531526, 531455, 22]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8172, 531544, F81, 21) (dual of [531544, 531472, 22]-code) | [i] | ||
| 4 | Linear OA(8173, 531560, F81, 21) (dual of [531560, 531487, 22]-code) | [i] | ||
| 5 | Linear OA(8174, 531562, F81, 21) (dual of [531562, 531488, 22]-code) | [i] | ||
| 6 | Linear OA(8175, 531594, F81, 21) (dual of [531594, 531519, 22]-code) | [i] | ||
| 7 | Linear OA(8176, 531610, F81, 21) (dual of [531610, 531534, 22]-code) | [i] | ||
| 8 | Linear OA(8177, 531626, F81, 21) (dual of [531626, 531549, 22]-code) | [i] | ||
| 9 | Linear OA(8178, 531774, F81, 21) (dual of [531774, 531696, 22]-code) | [i] | ||
| 10 | Linear OA(8179, 531853, F81, 21) (dual of [531853, 531774, 22]-code) | [i] | ||
| 11 | Linear OA(8180, 538007, F81, 21) (dual of [538007, 537927, 22]-code) | [i] | ||
| 12 | Linear OOA(8161, 265722, F81, 2, 21) (dual of [(265722, 2), 531383, 22]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(8161, 177148, F81, 3, 21) (dual of [(177148, 3), 531383, 22]-NRT-code) | [i] | ||
| 14 | Linear OOA(8161, 132861, F81, 4, 21) (dual of [(132861, 4), 531383, 22]-NRT-code) | [i] | ||