Information on Result #862125
Linear OOA(25105, 7866, F25, 2, 29) (dual of [(7866, 2), 15627, 30]-NRT-code), using OOA 2-folding based on linear OA(25105, 15732, F25, 29) (dual of [15732, 15627, 30]-code), using
- (u, u+v)-construction [i] based on
- linear OA(2523, 104, F25, 14) (dual of [104, 81, 15]-code), using
- extended algebraic-geometric code AGe(F,89P) [i] based on function field F/F25 with g(F) = 9 and N(F) ≥ 104, using
- linear OA(2582, 15628, F25, 29) (dual of [15628, 15546, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(2582, 15625, F25, 29) (dual of [15625, 15543, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2579, 15625, F25, 28) (dual of [15625, 15546, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(2523, 104, F25, 14) (dual of [104, 81, 15]-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.