Information on Result #681457
Linear OA(441, 260, F4, 14) (dual of [260, 219, 15]-code), using construction X applied to Ce(13) ⊂ Ce(12) based on
- linear OA(441, 256, F4, 14) (dual of [256, 215, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(437, 256, F4, 13) (dual of [256, 219, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(40, 4, F4, 0) (dual of [4, 4, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(446, 285, F4, 14) (dual of [285, 239, 15]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(447, 303, F4, 14) (dual of [303, 256, 15]-code) | [i] | ||
| 3 | Linear OA(448, 328, F4, 14) (dual of [328, 280, 15]-code) | [i] | ||
| 4 | Linear OA(449, 360, F4, 14) (dual of [360, 311, 15]-code) | [i] | ||
| 5 | Linear OA(450, 398, F4, 14) (dual of [398, 348, 15]-code) | [i] | ||
| 6 | Linear OOA(441, 130, F4, 2, 14) (dual of [(130, 2), 219, 15]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(441, 86, F4, 3, 14) (dual of [(86, 3), 217, 15]-NRT-code) | [i] | ||