Information on Result #649768
Linear OA(27103, 122, F27, 79) (dual of [122, 19, 80]-code), using construction XX applied to AG(F,13P) ⊂ AG(F,27P) ⊂ AG(F,28P) based on
- linear OA(2789, 93, F27, 79) (dual of [93, 4, 80]-code), using algebraic-geometric code AG(F,13P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2775, 93, F27, 65) (dual of [93, 18, 66]-code), using algebraic-geometric code AG(F,27P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(2774, 93, F27, 64) (dual of [93, 19, 65]-code), using algebraic-geometric code AG(F,28P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(2713, 28, F27, 13) (dual of [28, 15, 14]-code or 28-arc in PG(12,27)), using
- extended Reed–Solomon code RSe(15,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [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(27103, 61, F27, 2, 79) (dual of [(61, 2), 19, 80]-NRT-code) | [i] | OOA Folding | |