MinT - Information on Result #2446820

Information on Result #2446820

Linear OOA(5⁵⁶, 30, F₅, 2, 46) (dual of [(30, 2), 4, 47]-NRT-code), using strength reduction based on linear OOA(5⁵⁶, 30, F₅, 2, 47) (dual of [(30, 2), 4, 48]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(5⁹, 6, F₅, 2, 9) (dual of [(6, 2), 3, 10]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;3,5) [i]
2. linear OOA(5¹¹, 6, F₅, 2, 11) (dual of [(6, 2), 1, 12]-NRT-code), using
  - dual of repetition NRT-code with length 6 [i]
3. linear OOA(5¹², 6, F₅, 2, 12) (dual of [(6, 2), 0, 13]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [i]
4. linear OOA(5¹², 6, F₅, 2, 12) (dual of [(6, 2), 0, 13]-NRT-code) (see above)
5. linear OOA(5¹², 6, F₅, 2, 12) (dual of [(6, 2), 0, 13]-NRT-code) (see above)

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.