MinT - Information on Result #1027776

Information on Result #1027776

Linear OOA(8¹⁷², 58, F₈, 3, 166) (dual of [(58, 3), 2, 167]-NRT-code), using juxtaposition based on

linear OOA(8¹⁰, 4, F₈, 3, 10) (dual of [(4, 3), 2, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8¹⁰, 8, F₈, 3, 10) (dual of [(8, 3), 14, 11]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;14,8) [i]
linear OOA(8¹⁶⁰, 54, F₈, 3, 155) (dual of [(54, 3), 2, 156]-NRT-code), using
- repeating each code word 6 times [i] based on linear OOA(8²⁵, 9, F₈, 3, 25) (dual of [(9, 3), 2, 26]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;2,8) [i]

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(8¹⁶³, 55, F₈, 3, 157) (dual of [(55, 3), 2, 158]-NRT-code)	[i]		Truncation for OOAs
2	Linear OOA(8¹⁵⁷, 53, F₈, 3, 151) (dual of [(53, 3), 2, 152]-NRT-code)	[i]
3	Linear OOA(8¹⁵⁴, 52, F₈, 3, 148) (dual of [(52, 3), 2, 149]-NRT-code)	[i]
4	Linear OOA(8¹⁵¹, 51, F₈, 3, 145) (dual of [(51, 3), 2, 146]-NRT-code)	[i]
5	Linear OOA(8¹⁴⁸, 50, F₈, 3, 142) (dual of [(50, 3), 2, 143]-NRT-code)	[i]
6	Linear OOA(8¹³⁹, 47, F₈, 3, 133) (dual of [(47, 3), 2, 134]-NRT-code)	[i]
7	Linear OOA(8¹³⁶, 46, F₈, 3, 130) (dual of [(46, 3), 2, 131]-NRT-code)	[i]
8	Linear OOA(8¹³⁰, 44, F₈, 3, 124) (dual of [(44, 3), 2, 125]-NRT-code)	[i]
9	Linear OOA(8¹²⁷, 43, F₈, 3, 121) (dual of [(43, 3), 2, 122]-NRT-code)	[i]
10	Linear OOA(8¹²¹, 41, F₈, 3, 115) (dual of [(41, 3), 2, 116]-NRT-code)	[i]
11	Linear OOA(8¹¹⁵, 39, F₈, 3, 109) (dual of [(39, 3), 2, 110]-NRT-code)	[i]
12	Linear OOA(8¹¹², 38, F₈, 3, 106) (dual of [(38, 3), 2, 107]-NRT-code)	[i]