Information on Result #869836
Linear OOA(3277, 16409, F32, 2, 22) (dual of [(16409, 2), 32741, 23]-NRT-code), using OOA 2-folding based on linear OA(3277, 32818, F32, 22) (dual of [32818, 32741, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3277, 32819, F32, 22) (dual of [32819, 32742, 23]-code), using
- (u, u+v)-construction [i] based on
- linear OA(3212, 44, F32, 11) (dual of [44, 32, 12]-code), using
- extended algebraic-geometric code AGe(F,32P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(3265, 32775, F32, 22) (dual of [32775, 32710, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(3264, 32768, F32, 22) (dual of [32768, 32704, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3258, 32768, F32, 20) (dual of [32768, 32710, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(3212, 44, F32, 11) (dual of [44, 32, 12]-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.