Information on Result #902314
Linear OOA(3263, 621, F32, 2, 22) (dual of [(621, 2), 1179, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3220, 108, F32, 2, 11) (dual of [(108, 2), 196, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(326, 44, F32, 2, 5) (dual of [(44, 2), 82, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,82P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- 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(326, 44, F32, 2, 5) (dual of [(44, 2), 82, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3243, 513, F32, 2, 22) (dual of [(513, 2), 983, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3243, 1026, F32, 22) (dual of [1026, 983, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(3243, 1024, F32, 22) (dual of [1024, 981, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3241, 1024, F32, 21) (dual of [1024, 983, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 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(21) ⊂ Ce(20) [i] based on
- OOA 2-folding [i] based on linear OA(3243, 1026, F32, 22) (dual of [1026, 983, 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.