Information on Result #1017930
Linear OOA(6486, 2883587, F64, 3, 16) (dual of [(2883587, 3), 8650675, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6425, 87386, F64, 3, 8) (dual of [(87386, 3), 262133, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6425, 262158, F64, 8) (dual of [262158, 262133, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(6425, 262159, F64, 8) (dual of [262159, 262134, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(3) [i] based on
- linear OA(6422, 262144, F64, 8) (dual of [262144, 262122, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(6410, 262144, F64, 4) (dual of [262144, 262134, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(643, 15, F64, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,64) or 15-cap in PG(2,64)), using
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), using
- Reed–Solomon code RS(61,64) [i]
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), using
- construction X applied to Ce(7) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(6425, 262159, F64, 8) (dual of [262159, 262134, 9]-code), using
- OOA 3-folding [i] based on linear OA(6425, 262158, F64, 8) (dual of [262158, 262133, 9]-code), using
- linear OOA(6461, 2796201, F64, 3, 16) (dual of [(2796201, 3), 8388542, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- OOA 3-folding [i] based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.