Information on Result #843876
Linear OOA(852, 272, F8, 2, 16) (dual of [(272, 2), 492, 17]-NRT-code), using OOA 2-folding based on linear OA(852, 544, F8, 16) (dual of [544, 492, 17]-code), using
- construction XX applied to C1 = C([505,6]), C2 = C([0,9]), C3 = C1 + C2 = C([0,6]), and C∩ = C1 ∩ C2 = C([505,9]) [i] based on
- linear OA(837, 511, F8, 13) (dual of [511, 474, 14]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,6}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(825, 511, F8, 10) (dual of [511, 486, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(843, 511, F8, 16) (dual of [511, 468, 17]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,9}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(819, 511, F8, 7) (dual of [511, 492, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(87, 25, F8, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [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
None.