Information on Result #902472
Linear OOA(3276, 621, F32, 2, 27) (dual of [(621, 2), 1166, 28]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3223, 108, F32, 2, 13) (dual of [(108, 2), 193, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(327, 44, F32, 2, 6) (dual of [(44, 2), 81, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,81P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3216, 64, F32, 2, 13) (dual of [(64, 2), 112, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,114P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OOA(327, 44, F32, 2, 6) (dual of [(44, 2), 81, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3253, 513, F32, 2, 27) (dual of [(513, 2), 973, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3253, 1026, F32, 27) (dual of [1026, 973, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(3253, 1024, F32, 27) (dual of [1024, 971, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(3251, 1024, F32, 26) (dual of [1024, 973, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(26) ⊂ Ce(25) [i] based on
- OOA 2-folding [i] based on linear OA(3253, 1026, F32, 27) (dual of [1026, 973, 28]-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.