Information on Result #900196
Linear OOA(25108, 7841, F25, 2, 32) (dual of [(7841, 2), 15574, 33]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2517, 27, F25, 2, 16) (dual of [(27, 2), 37, 17]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 17, 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, 17, 27)-net over F25, using
- linear OOA(2591, 7814, F25, 2, 32) (dual of [(7814, 2), 15537, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2591, 15628, F25, 32) (dual of [15628, 15537, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- linear OA(2591, 15625, F25, 32) (dual of [15625, 15534, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2588, 15625, F25, 31) (dual of [15625, 15537, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(31) ⊂ Ce(30) [i] based on
- OOA 2-folding [i] based on linear OA(2591, 15628, F25, 32) (dual of [15628, 15537, 33]-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.