MinT - Information on Result #2642724

Information on Result #2642724

Linear OOA(7¹⁰⁶, 40, F₇, 3, 77) (dual of [(40, 3), 14, 78]-NRT-code), using strength reduction based on linear OOA(7¹⁰⁶, 40, F₇, 3, 79) (dual of [(40, 3), 14, 80]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(7¹⁵, 8, F₇, 3, 15) (dual of [(8, 3), 9, 16]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;9,7) [i]
2. linear OOA(7¹⁹, 8, F₇, 3, 19) (dual of [(8, 3), 5, 20]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;5,7) [i]
3. linear OOA(7²⁴, 8, F₇, 3, 24) (dual of [(8, 3), 0, 25]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [i]
4. linear OOA(7²⁴, 8, F₇, 3, 24) (dual of [(8, 3), 0, 25]-NRT-code) (see above)
5. linear OOA(7²⁴, 8, F₇, 3, 24) (dual of [(8, 3), 0, 25]-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		Method
1	Linear OOA(7¹⁰⁷, 40, F₇, 3, 77) (dual of [(40, 3), 13, 78]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(7¹⁰⁵, 39, F₇, 3, 76) (dual of [(39, 3), 12, 77]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(7¹⁰⁴, 39, F₇, 3, 75) (dual of [(39, 3), 13, 76]-NRT-code)	[i]
4	Linear OOA(7¹⁰³, 39, F₇, 3, 74) (dual of [(39, 3), 14, 75]-NRT-code)	[i]
5	Linear OOA(7¹⁰², 38, F₇, 3, 73) (dual of [(38, 3), 12, 74]-NRT-code)	[i]
6	Linear OOA(7¹⁰¹, 38, F₇, 3, 72) (dual of [(38, 3), 13, 73]-NRT-code)	[i]
7	Linear OOA(7¹⁰⁰, 38, F₇, 3, 71) (dual of [(38, 3), 14, 72]-NRT-code)	[i]
8	Linear OOA(7⁹⁹, 37, F₇, 3, 70) (dual of [(37, 3), 12, 71]-NRT-code)	[i]
9	Linear OOA(7⁹⁸, 37, F₇, 3, 69) (dual of [(37, 3), 13, 70]-NRT-code)	[i]
10	Linear OOA(7⁹⁷, 37, F₇, 3, 68) (dual of [(37, 3), 14, 69]-NRT-code)	[i]