Information on Result #903778
Linear OOA(6489, 4327390, F64, 2, 16) (dual of [(4327390, 2), 8654691, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6428, 133089, F64, 2, 8) (dual of [(133089, 2), 266150, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6428, 266178, F64, 8) (dual of [266178, 266150, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(6428, 266179, F64, 8) (dual of [266179, 266151, 9]-code), using
- (u, u+v)-construction [i] based on
- linear OA(646, 4032, F64, 4) (dual of [4032, 4026, 5]-code), using
- 1 times truncation [i] based on linear OA(647, 4033, F64, 5) (dual of [4033, 4026, 6]-code), using
- linear OA(6422, 262147, F64, 8) (dual of [262147, 262125, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [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(6419, 262144, F64, 7) (dual of [262144, 262125, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(646, 4032, F64, 4) (dual of [4032, 4026, 5]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(6428, 266179, F64, 8) (dual of [266179, 266151, 9]-code), using
- OOA 2-folding [i] based on linear OA(6428, 266178, F64, 8) (dual of [266178, 266150, 9]-code), using
- linear OOA(6461, 4194301, F64, 2, 16) (dual of [(4194301, 2), 8388541, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6461, 8388602, F64, 16) (dual of [8388602, 8388541, 17]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
- OOA 2-folding [i] based on linear OA(6461, 8388602, F64, 16) (dual of [8388602, 8388541, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(6489, 1081847, F64, 18, 16) (dual of [(1081847, 18), 19473157, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |