MinT - Information on Result #2449330

Information on Result #2449330

Linear OOA(7¹⁰⁰, 56, F₇, 2, 71) (dual of [(56, 2), 12, 72]-NRT-code), using strength reduction based on linear OOA(7¹⁰⁰, 56, F₇, 2, 74) (dual of [(56, 2), 12, 75]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(7¹⁰, 8, F₇, 2, 10) (dual of [(8, 2), 6, 11]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;6,7) [i]
2. linear OOA(7¹², 8, F₇, 2, 12) (dual of [(8, 2), 4, 13]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;4,7) [i]
3. linear OOA(7¹⁴, 8, F₇, 2, 14) (dual of [(8, 2), 2, 15]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;2,7) [i]
4. linear OOA(7¹⁶, 8, F₇, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [i]
5. linear OOA(7¹⁶, 8, F₇, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code) (see above)
6. linear OOA(7¹⁶, 8, F₇, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code) (see above)
7. linear OOA(7¹⁶, 8, F₇, 2, 16) (dual of [(8, 2), 0, 17]-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.