Information on Result #869232
Linear OOA(3241, 16407, F32, 2, 12) (dual of [(16407, 2), 32773, 13]-NRT-code), using OOA 2-folding based on linear OA(3241, 32814, F32, 12) (dual of [32814, 32773, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3241, 32815, F32, 12) (dual of [32815, 32774, 13]-code), using
- (u, u+v)-construction [i] based on
- linear OA(327, 44, F32, 6) (dual of [44, 37, 7]-code), using
- extended algebraic-geometric code AGe(F,37P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(3234, 32771, F32, 12) (dual of [32771, 32737, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(3234, 32768, F32, 12) (dual of [32768, 32734, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(3231, 32768, F32, 11) (dual of [32768, 32737, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(11) ⊂ Ce(10) [i] based on
- linear OA(327, 44, F32, 6) (dual of [44, 37, 7]-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.