MinT - Information on Result #1087026

Information on Result #1087026

Linear OOA(2²⁰⁷, 53, F₂, 4, 158) (dual of [(53, 4), 5, 159]-NRT-code), using juxtaposition based on

linear OOA(2¹⁵, 5, F₂, 4, 14) (dual of [(5, 4), 5, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,5P) [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(2¹⁸⁷, 48, F₂, 4, 143) (dual of [(48, 4), 5, 144]-NRT-code), using
- repeating each code word 8 times [i] based on linear OOA(2¹⁹, 6, F₂, 4, 17) (dual of [(6, 4), 5, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,6P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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(2²⁰⁷, 53, F₂, 4, 157) (dual of [(53, 4), 5, 158]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁰⁷, 53, F₂, 4, 156) (dual of [(53, 4), 5, 157]-NRT-code)	[i]
3	Linear OOA(2²⁰⁷, 53, F₂, 4, 155) (dual of [(53, 4), 5, 156]-NRT-code)	[i]
4	Linear OOA(2²⁰⁷, 53, F₂, 4, 154) (dual of [(53, 4), 5, 155]-NRT-code)	[i]
5	Linear OOA(2²⁰⁷, 53, F₂, 4, 153) (dual of [(53, 4), 5, 154]-NRT-code)	[i]
6	Linear OOA(2²⁰⁷, 53, F₂, 4, 152) (dual of [(53, 4), 5, 153]-NRT-code)	[i]
7	Linear OOA(2²⁰⁷, 53, F₂, 4, 151) (dual of [(53, 4), 5, 152]-NRT-code)	[i]
8	Linear OOA(2²⁰⁷, 53, F₂, 4, 150) (dual of [(53, 4), 5, 151]-NRT-code)	[i]
9	Linear OOA(2²⁰⁷, 53, F₂, 4, 149) (dual of [(53, 4), 5, 150]-NRT-code)	[i]
10	Linear OOA(2²⁰⁷, 53, F₂, 4, 148) (dual of [(53, 4), 5, 149]-NRT-code)	[i]
11	Linear OOA(2²⁰⁷, 53, F₂, 4, 147) (dual of [(53, 4), 5, 148]-NRT-code)	[i]
12	Linear OOA(2²²⁷, 58, F₂, 4, 173) (dual of [(58, 4), 5, 174]-NRT-code)	[i]		Juxtaposition for OOAs