Information on Result #714739
Linear OA(857, 83, F8, 33) (dual of [83, 26, 34]-code), using construction XX applied to C1 = C([55,21]), C2 = C([0,26]), C3 = C1 + C2 = C([0,21]), and C∩ = C1 ∩ C2 = C([55,26]) based on
- linear OA(845, 63, F8, 30) (dual of [63, 18, 31]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {−8,−7,…,21}, and designed minimum distance d ≥ |I|+1 = 31 [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(835, 63, F8, 22) (dual of [63, 28, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(86, 14, F8, 5) (dual of [14, 8, 6]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OA(84, 6, F8, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,8)), using
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
- Reed–Solomon code RS(4,8) [i]
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), 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
None.