Information on Result #905048
Linear OOA(12863, 1048877, F128, 2, 17) (dual of [(1048877, 2), 2097691, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12814, 300, F128, 2, 8) (dual of [(300, 2), 586, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1285, 150, F128, 2, 4) (dual of [(150, 2), 295, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,295P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(1289, 150, F128, 2, 8) (dual of [(150, 2), 291, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,291P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (see above)
- linear OOA(1285, 150, F128, 2, 4) (dual of [(150, 2), 295, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12849, 1048577, F128, 2, 17) (dual of [(1048577, 2), 2097105, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12849, 2097154, F128, 17) (dual of [2097154, 2097105, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(12849, 2097155, F128, 17) (dual of [2097155, 2097106, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(12849, 2097152, F128, 17) (dual of [2097152, 2097103, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(12846, 2097152, F128, 16) (dual of [2097152, 2097106, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(12849, 2097155, F128, 17) (dual of [2097155, 2097106, 18]-code), using
- OOA 2-folding [i] based on linear OA(12849, 2097154, F128, 17) (dual of [2097154, 2097105, 18]-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.