Information on Result #1070472
Linear OOA(12864, 524384, F128, 4, 18) (dual of [(524384, 4), 2097472, 19]-NRT-code), using OOA 2-folding based on linear OOA(12864, 1048768, F128, 2, 18) (dual of [(1048768, 2), 2097472, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12864, 1048769, F128, 2, 18) (dual of [(1048769, 2), 2097474, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12812, 192, F128, 2, 9) (dual of [(192, 2), 372, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,374P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OOA(12852, 1048577, F128, 2, 18) (dual of [(1048577, 2), 2097102, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12852, 2097154, F128, 18) (dual of [2097154, 2097102, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(12852, 2097155, F128, 18) (dual of [2097155, 2097103, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(12852, 2097152, F128, 18) (dual of [2097152, 2097100, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 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(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(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(12852, 2097155, F128, 18) (dual of [2097155, 2097103, 19]-code), using
- OOA 2-folding [i] based on linear OA(12852, 2097154, F128, 18) (dual of [2097154, 2097102, 19]-code), using
- linear OOA(12812, 192, F128, 2, 9) (dual of [(192, 2), 372, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
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.