MinT - Information on Result #2698149

Information on Result #2698149

Linear OOA(7⁹⁸, 43, F₇, 3, 59) (dual of [(43, 3), 31, 60]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(7⁹⁵, 42, F₇, 3, 59) (dual of [(42, 3), 31, 60]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(7⁹, 7, F₇, 3, 9) (dual of [(7, 3), 12, 10]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;12,7) [i]
2. linear OOA(7¹¹, 7, F₇, 3, 11) (dual of [(7, 3), 10, 12]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;10,7) [i]
3. linear OOA(7¹⁴, 7, F₇, 3, 14) (dual of [(7, 3), 7, 15]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;7,7) [i]
4. linear OOA(7¹⁹, 7, F₇, 3, 19) (dual of [(7, 3), 2, 20]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;2,7) [i]
5. linear OOA(7²¹, 7, F₇, 3, 21) (dual of [(7, 3), 0, 22]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [i]
6. linear OOA(7²¹, 7, F₇, 3, 21) (dual of [(7, 3), 0, 22]-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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(7⁹⁹, 43, F₇, 3, 59) (dual of [(43, 3), 30, 60]-NRT-code)	[i]		OOA Duplication