Information on Result #989490
Linear OOA(6473, 87425, F64, 3, 20) (dual of [(87425, 3), 262202, 21]-NRT-code), using OOA 3-folding based on linear OA(6473, 262275, F64, 20) (dual of [262275, 262202, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(6473, 262277, F64, 20) (dual of [262277, 262204, 21]-code), using
- (u, u+v)-construction [i] based on
- linear OA(6415, 130, F64, 10) (dual of [130, 115, 11]-code), using
- (u, u+v)-construction [i] based on
- linear OA(645, 65, F64, 5) (dual of [65, 60, 6]-code or 65-arc in PG(4,64)), using
- extended Reed–Solomon code RSe(60,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(6410, 65, F64, 10) (dual of [65, 55, 11]-code or 65-arc in PG(9,64)), using
- extended Reed–Solomon code RSe(55,64) [i]
- linear OA(645, 65, F64, 5) (dual of [65, 60, 6]-code or 65-arc in PG(4,64)), using
- (u, u+v)-construction [i] based on
- linear OA(6458, 262147, F64, 20) (dual of [262147, 262089, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(6458, 262144, F64, 20) (dual of [262144, 262086, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(6455, 262144, F64, 19) (dual of [262144, 262089, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(19) ⊂ Ce(18) [i] based on
- linear OA(6415, 130, F64, 10) (dual of [130, 115, 11]-code), using
- (u, u+v)-construction [i] based on
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.