Information on Result #714720
Linear OA(863, 94, F8, 34) (dual of [94, 31, 35]-code), using construction XX applied to C1 = C([55,18]), C2 = C([0,26]), C3 = C1 + C2 = C([0,18]), and C∩ = C1 ∩ C2 = C([55,26]) based on
- linear OA(839, 63, F8, 27) (dual of [63, 24, 28]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {−8,−7,…,18}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(839, 63, F8, 27) (dual of [63, 24, 28]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(847, 63, F8, 35) (dual of [63, 16, 36]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {−8,−7,…,26}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(829, 63, F8, 19) (dual of [63, 34, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(87, 14, F8, 6) (dual of [14, 7, 7]-code), using
- extended algebraic-geometric code AGe(F,7P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OA(89, 17, F8, 7) (dual of [17, 8, 8]-code), using
- extended algebraic-geometric code AGe(F,9P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, 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(863, 47, F8, 2, 34) (dual of [(47, 2), 31, 35]-NRT-code) | [i] | OOA Folding | |