Information on Result #1013287
Linear OOA(5118, 651066, F5, 3, 15) (dual of [(651066, 3), 1953080, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(510, 25, F5, 3, 7) (dual of [(25, 3), 65, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 10, 25)-net over F5, using
- linear OOA(5108, 651041, F5, 3, 15) (dual of [(651041, 3), 1953015, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5108, 1953123, F5, 15) (dual of [1953123, 1953015, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(5108, 1953124, F5, 15) (dual of [1953124, 1953016, 16]-code), using
- 1 times truncation [i] based on linear OA(5109, 1953125, F5, 16) (dual of [1953125, 1953016, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 1 times truncation [i] based on linear OA(5109, 1953125, F5, 16) (dual of [1953125, 1953016, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(5108, 1953124, F5, 15) (dual of [1953124, 1953016, 16]-code), using
- OOA 3-folding [i] based on linear OA(5108, 1953123, F5, 15) (dual of [1953123, 1953015, 16]-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.