Information on Result #902077
Linear OOA(3260, 16473, F32, 2, 16) (dual of [(16473, 2), 32886, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3214, 88, F32, 2, 8) (dual of [(88, 2), 162, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(325, 44, F32, 2, 4) (dual of [(44, 2), 83, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,83P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(329, 44, F32, 2, 8) (dual of [(44, 2), 79, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,79P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44 (see above)
- linear OOA(325, 44, F32, 2, 4) (dual of [(44, 2), 83, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3246, 16385, F32, 2, 16) (dual of [(16385, 2), 32724, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3246, 32770, F32, 16) (dual of [32770, 32724, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3246, 32771, F32, 16) (dual of [32771, 32725, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(3246, 32768, F32, 16) (dual of [32768, 32722, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(3243, 32768, F32, 15) (dual of [32768, 32725, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(3246, 32771, F32, 16) (dual of [32771, 32725, 17]-code), using
- OOA 2-folding [i] based on linear OA(3246, 32770, F32, 16) (dual of [32770, 32724, 17]-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.