Information on Result #1018320
Linear OOA(6489, 1546, F64, 3, 32) (dual of [(1546, 3), 4549, 33]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6423, 177, F64, 3, 16) (dual of [(177, 3), 508, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,514P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6466, 1369, F64, 3, 32) (dual of [(1369, 3), 4041, 33]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6466, 4107, F64, 32) (dual of [4107, 4041, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(27) [i] based on
- linear OA(6463, 4096, F64, 32) (dual of [4096, 4033, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(6455, 4096, F64, 28) (dual of [4096, 4041, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(643, 11, F64, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,64) or 11-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(31) ⊂ Ce(27) [i] based on
- OOA 3-folding [i] based on linear OA(6466, 4107, F64, 32) (dual of [4107, 4041, 33]-code), using
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.