Information on Result #682024
Linear OA(443, 73, F4, 21) (dual of [73, 30, 22]-code), using construction X applied to Ce(20) ⊂ Ce(14) 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(434, 64, F4, 15) (dual of [64, 30, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(46, 9, F4, 5) (dual of [9, 3, 6]-code), 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.
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(442, 72, F4, 20) (dual of [72, 30, 21]-code) | [i] | Truncation | |
| 2 | Linear OA(441, 71, F4, 19) (dual of [71, 30, 20]-code) | [i] | ||
| 3 | Linear OOA(443, 36, F4, 2, 21) (dual of [(36, 2), 29, 22]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(443, 24, F4, 3, 21) (dual of [(24, 3), 29, 22]-NRT-code) | [i] | ||