Information on Result #682044
Linear OA(443, 76, F4, 20) (dual of [76, 33, 21]-code), using construction X applied to Ce(20) ⊂ Ce(13) based on
- linear OA(437, 64, F4, 21) (dual of [64, 27, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(431, 64, F4, 14) (dual of [64, 33, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [i]
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(443, 76, F4, 19) (dual of [76, 33, 20]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(442, 75, F4, 19) (dual of [75, 33, 20]-code) | [i] | Truncation | |
| 3 | Linear OA(441, 74, F4, 18) (dual of [74, 33, 19]-code) | [i] | ||
| 4 | Linear OA(444, 78, F4, 20) (dual of [78, 34, 21]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(443, 38, F4, 2, 20) (dual of [(38, 2), 33, 21]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(443, 25, F4, 3, 20) (dual of [(25, 3), 32, 21]-NRT-code) | [i] | ||