MinT - Information on Result #910548

Information on Result #910548

Linear OOA(8¹⁷², 87, F₈, 2, 163) (dual of [(87, 2), 2, 164]-NRT-code), using juxtaposition based on

linear OOA(8¹⁰, 6, F₈, 2, 10) (dual of [(6, 2), 2, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8¹⁰, 8, F₈, 2, 10) (dual of [(8, 2), 6, 11]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;6,8) [i]
linear OOA(8¹⁶⁰, 81, F₈, 2, 152) (dual of [(81, 2), 2, 153]-NRT-code), using
- repeating each code word 9 times [i] based on linear OOA(8¹⁶, 9, F₈, 2, 16) (dual of [(9, 2), 2, 17]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;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(8¹⁶⁶, 84, F₈, 2, 157) (dual of [(84, 2), 2, 158]-NRT-code)	[i]		Truncation for OOAs
2	Linear OOA(8¹⁶⁴, 83, F₈, 2, 155) (dual of [(83, 2), 2, 156]-NRT-code)	[i]
3	Linear OOA(8¹⁶², 82, F₈, 2, 153) (dual of [(82, 2), 2, 154]-NRT-code)	[i]
4	Linear OOA(8¹⁵⁶, 79, F₈, 2, 147) (dual of [(79, 2), 2, 148]-NRT-code)	[i]
5	Linear OOA(8¹⁵⁴, 78, F₈, 2, 145) (dual of [(78, 2), 2, 146]-NRT-code)	[i]
6	Linear OOA(8¹⁵², 77, F₈, 2, 143) (dual of [(77, 2), 2, 144]-NRT-code)	[i]
7	Linear OOA(8¹⁵⁰, 76, F₈, 2, 141) (dual of [(76, 2), 2, 142]-NRT-code)	[i]
8	Linear OOA(8¹⁴⁸, 75, F₈, 2, 139) (dual of [(75, 2), 2, 140]-NRT-code)	[i]
9	Linear OOA(8¹⁴⁶, 74, F₈, 2, 137) (dual of [(74, 2), 2, 138]-NRT-code)	[i]
10	Linear OOA(8¹⁴⁴, 73, F₈, 2, 135) (dual of [(73, 2), 2, 136]-NRT-code)	[i]
11	Linear OOA(8¹⁴⁰, 71, F₈, 2, 131) (dual of [(71, 2), 2, 132]-NRT-code)	[i]
12	Linear OOA(8¹³⁶, 69, F₈, 2, 127) (dual of [(69, 2), 2, 128]-NRT-code)	[i]