Information on Result #695338
Linear OA(27110, 19712, F27, 36) (dual of [19712, 19602, 37]-code), using construction XX applied to Ce(35) ⊂ Ce(28) ⊂ Ce(27) based on
- linear OA(27103, 19683, F27, 36) (dual of [19683, 19580, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(2782, 19683, F27, 29) (dual of [19683, 19601, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(276, 28, F27, 6) (dual of [28, 22, 7]-code or 28-arc in PG(5,27)), using
- extended Reed–Solomon code RSe(22,27) [i]
- linear OA(270, 1, F27, 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(27110, 19712, F27, 2, 36) (dual of [(19712, 2), 39314, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (74, 110, 19712)-net over F27 | [i] | ||
| 3 | Linear OOA(27110, 9856, F27, 2, 36) (dual of [(9856, 2), 19602, 37]-NRT-code) | [i] | OOA Folding | |