Information on Result #718222
Linear OA(989, 114, F9, 54) (dual of [114, 25, 55]-code), using construction XX applied to C1 = C([68,39]), C2 = C([1,41]), C3 = C1 + C2 = C([1,39]), and C∩ = C1 ∩ C2 = C([68,41]) based on
- linear OA(969, 80, F9, 52) (dual of [80, 11, 53]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−12,−11,…,39}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(958, 80, F9, 41) (dual of [80, 22, 42]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(972, 80, F9, 54) (dual of [80, 8, 55]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−12,−11,…,41}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(955, 80, F9, 39) (dual of [80, 25, 40]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(916, 30, F9, 12) (dual of [30, 14, 13]-code), using
- extended algebraic-geometric code AGe(F,17P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- linear OA(91, 4, F9, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), 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(989, 57, F9, 2, 54) (dual of [(57, 2), 25, 55]-NRT-code) | [i] | OOA Folding | |