Information on Result #682027
Linear OA(431, 67, F4, 14) (dual of [67, 36, 15]-code), using construction X applied to Ce(13) ⊂ Ce(12) based on
- 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(428, 64, F4, 13) (dual of [64, 36, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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 OOA(431, 33, F4, 2, 14) (dual of [(33, 2), 35, 15]-NRT-code) | [i] | OOA Folding | |