Information on Result #1019561
Linear OOA(12861, 5613, F128, 3, 24) (dual of [(5613, 3), 16778, 25]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12813, 150, F128, 3, 12) (dual of [(150, 3), 437, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,437P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12848, 5463, F128, 3, 24) (dual of [(5463, 3), 16341, 25]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12848, 16389, F128, 24) (dual of [16389, 16341, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
- linear OA(12847, 16384, F128, 24) (dual of [16384, 16337, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- 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(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(23) ⊂ Ce(21) [i] based on
- OOA 3-folding [i] based on linear OA(12848, 16389, F128, 24) (dual of [16389, 16341, 25]-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.