Information on Result #902327
Linear OOA(3279, 16451, F32, 2, 22) (dual of [(16451, 2), 32823, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3214, 64, F32, 2, 11) (dual of [(64, 2), 114, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,116P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OOA(3265, 16387, F32, 2, 22) (dual of [(16387, 2), 32709, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3265, 32774, F32, 22) (dual of [32774, 32709, 23]-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OA(3265, 32775, F32, 22) (dual of [32775, 32710, 23]-code), using
- OOA 2-folding [i] based on linear OA(3265, 32774, F32, 22) (dual of [32774, 32709, 23]-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.