MinT - Information on Result #1146223

Information on Result #1146223

Linear OOA(2²⁵⁴, 43, F₂, 6, 221) (dual of [(43, 6), 4, 222]-NRT-code), using juxtaposition based on

linear OOA(2²⁰, 4, F₂, 6, 19) (dual of [(4, 6), 4, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2²⁰, 5, F₂, 6, 19) (dual of [(5, 6), 10, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,10P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
    - an explicitly constructive algebraic function field [i]
linear OOA(2²³⁰, 39, F₂, 6, 201) (dual of [(39, 6), 4, 202]-NRT-code), using
- 6 step truncation [i] based on linear OOA(2²³⁶, 40, F₂, 6, 207) (dual of [(40, 6), 4, 208]-NRT-code), using
  - repeating each code word 8 times [i] based on linear OOA(2²⁶, 5, F₂, 6, 25) (dual of [(5, 6), 4, 26]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(6;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5 (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(2²⁵⁴, 43, F₂, 6, 220) (dual of [(43, 6), 4, 221]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁵⁴, 43, F₂, 6, 219) (dual of [(43, 6), 4, 220]-NRT-code)	[i]
3	Linear OOA(2²⁵⁴, 43, F₂, 6, 218) (dual of [(43, 6), 4, 219]-NRT-code)	[i]
4	Linear OOA(2²⁵⁴, 43, F₂, 6, 217) (dual of [(43, 6), 4, 218]-NRT-code)	[i]
5	Linear OOA(2²⁵⁴, 43, F₂, 6, 216) (dual of [(43, 6), 4, 217]-NRT-code)	[i]
6	Linear OOA(2²⁵⁴, 43, F₂, 6, 215) (dual of [(43, 6), 4, 216]-NRT-code)	[i]
7	Linear OOA(2²⁵⁴, 43, F₂, 6, 214) (dual of [(43, 6), 4, 215]-NRT-code)	[i]
8	Linear OOA(2²⁵⁴, 43, F₂, 6, 213) (dual of [(43, 6), 4, 214]-NRT-code)	[i]
9	Linear OOA(2²⁵⁴, 43, F₂, 6, 212) (dual of [(43, 6), 4, 213]-NRT-code)	[i]
10	Linear OOA(2²⁵⁴, 43, F₂, 6, 211) (dual of [(43, 6), 4, 212]-NRT-code)	[i]
11	Linear OOA(2²⁵⁴, 43, F₂, 6, 210) (dual of [(43, 6), 4, 211]-NRT-code)	[i]
12	Linear OOA(2²⁵⁴, 43, F₂, 6, 209) (dual of [(43, 6), 4, 210]-NRT-code)	[i]
13	Linear OOA(2²⁵⁴, 43, F₂, 6, 208) (dual of [(43, 6), 4, 209]-NRT-code)	[i]
14	Linear OOA(2²⁵⁴, 43, F₂, 6, 207) (dual of [(43, 6), 4, 208]-NRT-code)	[i]
15	Linear OOA(2²⁵⁴, 43, F₂, 6, 206) (dual of [(43, 6), 4, 207]-NRT-code)	[i]
16	Linear OOA(2²⁵⁴, 43, F₂, 6, 205) (dual of [(43, 6), 4, 206]-NRT-code)	[i]
17	Linear OOA(2²⁵⁴, 43, F₂, 6, 204) (dual of [(43, 6), 4, 205]-NRT-code)	[i]
18	Linear OOA(2²⁵⁴, 43, F₂, 6, 203) (dual of [(43, 6), 4, 204]-NRT-code)	[i]
19	Linear OOA(2²⁵⁴, 43, F₂, 6, 202) (dual of [(43, 6), 4, 203]-NRT-code)	[i]
20	Linear OOA(2²⁵⁴, 43, F₂, 6, 201) (dual of [(43, 6), 4, 202]-NRT-code)	[i]