MinT - Information on Result #1021805

Information on Result #1021805

Linear OOA(7¹⁰², 40, F₇, 3, 71) (dual of [(40, 3), 18, 72]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(7¹⁴, 8, F₇, 3, 14) (dual of [(8, 3), 10, 15]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;10,7) [i]
linear OOA(7¹⁷, 8, F₇, 3, 17) (dual of [(8, 3), 7, 18]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;7,7) [i]
linear OOA(7²³, 8, F₇, 3, 23) (dual of [(8, 3), 1, 24]-NRT-code), using
- dual of repetition NRT-code with length 8 [i]
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]
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		This result only	Method
1	Linear OOA(7¹⁰², 40, F₇, 3, 70) (dual of [(40, 3), 18, 71]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(7¹⁰², 40, F₇, 3, 69) (dual of [(40, 3), 18, 70]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(7¹⁰¹, 39, F₇, 3, 70) (dual of [(39, 3), 16, 71]-NRT-code)	[i]		Truncation for OOAs
4	Linear OOA(7¹⁰⁰, 39, F₇, 3, 69) (dual of [(39, 3), 17, 70]-NRT-code)	[i]
5	Linear OOA(7⁹⁹, 39, F₇, 3, 68) (dual of [(39, 3), 18, 69]-NRT-code)	[i]
6	Linear OOA(7⁹⁸, 38, F₇, 3, 67) (dual of [(38, 3), 16, 68]-NRT-code)	[i]
7	Linear OOA(7⁹⁷, 38, F₇, 3, 66) (dual of [(38, 3), 17, 67]-NRT-code)	[i]
8	Linear OOA(7⁹⁶, 38, F₇, 3, 65) (dual of [(38, 3), 18, 66]-NRT-code)	[i]
9	Linear OOA(7⁹⁵, 37, F₇, 3, 64) (dual of [(37, 3), 16, 65]-NRT-code)	[i]
10	Linear OOA(7⁹⁴, 37, F₇, 3, 63) (dual of [(37, 3), 17, 64]-NRT-code)	[i]
11	Linear OOA(7⁹³, 37, F₇, 3, 62) (dual of [(37, 3), 18, 63]-NRT-code)	[i]
12	Linear OOA(7⁹⁰, 36, F₇, 3, 59) (dual of [(36, 3), 18, 60]-NRT-code)	[i]