Information on Result #682035
Linear OA(413, 67, F4, 6) (dual of [67, 54, 7]-code), using construction X applied to Ce(5) ⊂ Ce(4) based on
- linear OA(413, 64, F4, 6) (dual of [64, 51, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(410, 64, F4, 5) (dual of [64, 54, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(40, 3, F4, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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.
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(4230, 262212, F4, 32) (dual of [262212, 261982, 33]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(4176, 262212, F4, 24) (dual of [262212, 262036, 25]-code) | [i] | ||
| 3 | Linear OA(4257, 262211, F4, 36) (dual of [262211, 261954, 37]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OA(4203, 262211, F4, 28) (dual of [262211, 262008, 29]-code) | [i] | ||
| 5 | Linear OA(4149, 262211, F4, 20) (dual of [262211, 262062, 21]-code) | [i] | ||