MinT - Information on Result #1146253

Information on Result #1146253

Linear OOA(2¹⁵³, 26, F₂, 6, 139) (dual of [(26, 6), 3, 140]-NRT-code), using juxtaposition based on

linear OOA(2¹⁵, 3, F₂, 6, 15) (dual of [(3, 6), 3, 16]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(6;3,2) [i]
linear OOA(2¹³⁵, 23, F₂, 6, 123) (dual of [(23, 6), 3, 124]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁵, 3, F₂, 6, 15) (dual of [(3, 6), 3, 16]-NRT-code) (see above)
  2. linear OOA(2¹¹⁷, 20, F₂, 6, 107) (dual of [(20, 6), 3, 108]-NRT-code), using
    - repeating each code word 4 times [i] based on linear OOA(2²⁷, 5, F₂, 6, 26) (dual of [(5, 6), 3, 27]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(6;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
        an explicitly constructive algebraic function field [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(2¹⁵³, 26, F₂, 6, 138) (dual of [(26, 6), 3, 139]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁵³, 26, F₂, 6, 137) (dual of [(26, 6), 3, 138]-NRT-code)	[i]
3	Linear OOA(2¹⁵³, 26, F₂, 6, 136) (dual of [(26, 6), 3, 137]-NRT-code)	[i]
4	Linear OOA(2¹⁵³, 26, F₂, 6, 135) (dual of [(26, 6), 3, 136]-NRT-code)	[i]
5	Linear OOA(2¹⁵³, 26, F₂, 6, 134) (dual of [(26, 6), 3, 135]-NRT-code)	[i]
6	Linear OOA(2¹⁵³, 26, F₂, 6, 133) (dual of [(26, 6), 3, 134]-NRT-code)	[i]
7	Linear OOA(2¹⁵³, 26, F₂, 6, 132) (dual of [(26, 6), 3, 133]-NRT-code)	[i]
8	Linear OOA(2¹⁵³, 26, F₂, 6, 131) (dual of [(26, 6), 3, 132]-NRT-code)	[i]
9	Linear OOA(2¹⁵³, 26, F₂, 6, 130) (dual of [(26, 6), 3, 131]-NRT-code)	[i]
10	Linear OOA(2¹⁵², 25, F₂, 6, 138)	[i]		Truncation for OOAs
11	Linear OOA(2¹⁵¹, 25, F₂, 6, 137)	[i]
12	Linear OOA(2¹⁴⁸, 25, F₂, 6, 134) (dual of [(25, 6), 2, 135]-NRT-code)	[i]
13	Linear OOA(2¹⁴⁶, 24, F₂, 6, 132)	[i]
14	Linear OOA(2¹⁴⁵, 24, F₂, 6, 131)	[i]
15	Linear OOA(2¹⁴⁰, 23, F₂, 6, 126)	[i]
16	Linear OOA(2¹³⁹, 23, F₂, 6, 125)	[i]
17	Linear OOA(2¹³⁶, 23, F₂, 6, 122) (dual of [(23, 6), 2, 123]-NRT-code)	[i]
18	Linear OOA(2¹³⁴, 22, F₂, 6, 120)	[i]
19	Linear OOA(2¹³³, 22, F₂, 6, 119)	[i]
20	Linear OOA(2¹²⁸, 21, F₂, 6, 114)	[i]
21	Linear OOA(2¹²⁷, 21, F₂, 6, 113)	[i]