Information on Result #900019
Linear OOA(2586, 7841, F25, 2, 25) (dual of [(7841, 2), 15596, 26]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2513, 27, F25, 2, 12) (dual of [(27, 2), 41, 13]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 13, 27)-net over F25, using
- net from sequence [i] based on digital (1, 26)-sequence over F25, using
- extracting embedded OOA [i] based on digital (1, 13, 27)-net over F25, using
- linear OOA(2573, 7814, F25, 2, 25) (dual of [(7814, 2), 15555, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2573, 15628, F25, 25) (dual of [15628, 15555, 26]-code), using
- 1 times truncation [i] based on linear OA(2574, 15629, F25, 26) (dual of [15629, 15555, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2570, 15625, F25, 24) (dual of [15625, 15555, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(251, 4, F25, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- 1 times truncation [i] based on linear OA(2574, 15629, F25, 26) (dual of [15629, 15555, 27]-code), using
- OOA 2-folding [i] based on linear OA(2573, 15628, F25, 25) (dual of [15628, 15555, 26]-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.