Information on Result #1070627
Linear OOA(12856, 4172, F128, 4, 22) (dual of [(4172, 4), 16632, 23]-NRT-code), using OOA 2-folding based on linear OOA(12856, 8344, F128, 2, 22) (dual of [(8344, 2), 16632, 23]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12812, 150, F128, 2, 11) (dual of [(150, 2), 288, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,288P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12844, 8194, F128, 2, 22) (dual of [(8194, 2), 16344, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12844, 16388, F128, 22) (dual of [16388, 16344, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(12844, 16389, F128, 22) (dual of [16389, 16345, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(12843, 16384, F128, 22) (dual of [16384, 16341, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(21) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(12844, 16389, F128, 22) (dual of [16389, 16345, 23]-code), using
- OOA 2-folding [i] based on linear OA(12844, 16388, F128, 22) (dual of [16388, 16344, 23]-code), using
- linear OOA(12812, 150, F128, 2, 11) (dual of [(150, 2), 288, 12]-NRT-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.