Information on Result #902209
Linear OOA(3267, 16449, F32, 2, 19) (dual of [(16449, 2), 32831, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3212, 64, F32, 2, 9) (dual of [(64, 2), 116, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,118P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OOA(3255, 16385, F32, 2, 19) (dual of [(16385, 2), 32715, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3255, 32770, F32, 19) (dual of [32770, 32715, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3255, 32771, F32, 19) (dual of [32771, 32716, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(3255, 32768, F32, 19) (dual of [32768, 32713, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3252, 32768, F32, 18) (dual of [32768, 32716, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 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
- discarding factors / shortening the dual code based on linear OA(3255, 32771, F32, 19) (dual of [32771, 32716, 20]-code), using
- OOA 2-folding [i] based on linear OA(3255, 32770, F32, 19) (dual of [32770, 32715, 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.