Information on Result #902203
Linear OOA(3251, 590, F32, 2, 19) (dual of [(590, 2), 1129, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3214, 77, F32, 2, 9) (dual of [(77, 2), 140, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(324, 33, F32, 2, 4) (dual of [(33, 2), 62, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;62,32) [i]
- linear OOA(3210, 44, F32, 2, 9) (dual of [(44, 2), 78, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,78P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(324, 33, F32, 2, 4) (dual of [(33, 2), 62, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3237, 513, F32, 2, 19) (dual of [(513, 2), 989, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3237, 1026, F32, 19) (dual of [1026, 989, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(3237, 1024, F32, 19) (dual of [1024, 987, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3235, 1024, F32, 18) (dual of [1024, 989, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(18) ⊂ Ce(17) [i] based on
- OOA 2-folding [i] based on linear OA(3237, 1026, F32, 19) (dual of [1026, 989, 20]-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.