Information on Result #1014648
Linear OOA(8171, 6291452, F8, 3, 16) (dual of [(6291452, 3), 18874185, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(849, 699050, F8, 3, 8) (dual of [(699050, 3), 2097101, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(849, 2097150, F8, 8) (dual of [2097150, 2097101, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(849, 2097151, F8, 8) (dual of [2097151, 2097102, 9]-code), using
- the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(849, 2097151, F8, 8) (dual of [2097151, 2097102, 9]-code), using
- OOA 3-folding [i] based on linear OA(849, 2097150, F8, 8) (dual of [2097150, 2097101, 9]-code), using
- linear OOA(8122, 5592402, F8, 3, 16) (dual of [(5592402, 3), 16777084, 17]-NRT-code), using
- trace code [i] based on 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
- trace code [i] based on linear OOA(6461, 2796201, F64, 3, 16) (dual of [(2796201, 3), 8388542, 17]-NRT-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.