Information on Result #899908
Linear OOA(2577, 7842, F25, 2, 22) (dual of [(7842, 2), 15607, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2513, 28, F25, 2, 11) (dual of [(28, 2), 43, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 13, 28)-net over F25, using
- net from sequence [i] based on digital (2, 27)-sequence over F25, using
- extracting embedded OOA [i] based on digital (2, 13, 28)-net over F25, using
- linear OOA(2564, 7814, F25, 2, 22) (dual of [(7814, 2), 15564, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2564, 15628, F25, 22) (dual of [15628, 15564, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(2564, 15625, F25, 22) (dual of [15625, 15561, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2561, 15625, F25, 21) (dual of [15625, 15564, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(21) ⊂ Ce(20) [i] based on
- OOA 2-folding [i] based on linear OA(2564, 15628, F25, 22) (dual of [15628, 15564, 23]-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.