Information on Result #862040
Linear OOA(2592, 7834, F25, 2, 28) (dual of [(7834, 2), 15576, 29]-NRT-code), using OOA 2-folding based on linear OA(2592, 15668, F25, 28) (dual of [15668, 15576, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(16) [i] based on
- 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(2549, 15625, F25, 17) (dual of [15625, 15576, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2513, 43, F25, 10) (dual of [43, 30, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2513, 52, F25, 10) (dual of [52, 39, 11]-code), using
- extended algebraic-geometric code AGe(F,41P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OA(2513, 52, F25, 10) (dual of [52, 39, 11]-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.