Information on Result #1019678
Linear OOA(12878, 5655, F128, 3, 30) (dual of [(5655, 3), 16887, 31]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12818, 192, F128, 3, 15) (dual of [(192, 3), 558, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,560P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OOA(12860, 5463, F128, 3, 30) (dual of [(5463, 3), 16329, 31]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12860, 16389, F128, 30) (dual of [16389, 16329, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(27) [i] based on
- linear OA(12859, 16384, F128, 30) (dual of [16384, 16325, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(12855, 16384, F128, 28) (dual of [16384, 16329, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(29) ⊂ Ce(27) [i] based on
- OOA 3-folding [i] based on linear OA(12860, 16389, F128, 30) (dual of [16389, 16329, 31]-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.