MinT - Information on Result #1021905

Information on Result #1021905

Linear OOA(7⁷⁵, 28, F₇, 3, 59) (dual of [(28, 3), 9, 60]-NRT-code), using generalized (u,Â u+v)-construction based on

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]
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]
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]
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(7⁷⁵, 28, F₇, 3, 58) (dual of [(28, 3), 9, 59]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(7⁷⁵, 28, F₇, 3, 57) (dual of [(28, 3), 9, 58]-NRT-code)	[i]
3	Linear OOA(7⁷⁵, 28, F₇, 3, 56) (dual of [(28, 3), 9, 57]-NRT-code)	[i]
4	Linear OOA(7⁷⁴, 27, F₇, 3, 58) (dual of [(27, 3), 7, 59]-NRT-code)	[i]		Truncation for OOAs
5	Linear OOA(7⁷³, 27, F₇, 3, 57) (dual of [(27, 3), 8, 58]-NRT-code)	[i]
6	Linear OOA(7⁷², 27, F₇, 3, 56) (dual of [(27, 3), 9, 57]-NRT-code)	[i]
7	Linear OOA(7⁷⁰, 26, F₇, 3, 54) (dual of [(26, 3), 8, 55]-NRT-code)	[i]
8	Linear OOA(7⁶⁹, 26, F₇, 3, 53) (dual of [(26, 3), 9, 54]-NRT-code)	[i]
9	Linear OOA(7⁶⁶, 25, F₇, 3, 50) (dual of [(25, 3), 9, 51]-NRT-code)	[i]