Information on Result #681846
Linear OA(456, 272, F4, 18) (dual of [272, 216, 19]-code), using construction XX applied to Ce(17) ⊂ Ce(13) ⊂ Ce(12) based on
- linear OA(451, 256, F4, 18) (dual of [256, 205, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 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(44, 15, F4, 3) (dual of [15, 11, 4]-code or 15-cap in PG(3,4)), using
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(456, 255, F4, 2, 18) (dual of [(255, 2), 454, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(456, 255, F4, 3, 18) (dual of [(255, 3), 709, 19]-NRT-code) | [i] | ||
| 3 | Digital (38, 56, 255)-net over F4 | [i] | ||
| 4 | Linear OOA(456, 136, F4, 2, 18) (dual of [(136, 2), 216, 19]-NRT-code) | [i] | OOA Folding | |