MinT - Information on Result #911096

Information on Result #911096

Linear OOA(2²¹⁴, 111, F₂, 2, 129) (dual of [(111, 2), 8, 130]-NRT-code), using concatenation of two NRT-codes based on

linear OA(4³³, 37, F₄, 25) (dual of [37, 4, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(4³³, 38, F₄, 25) (dual of [38, 5, 26]-code), using
  - 2 times truncation [i] based on linear OA(4³⁵, 40, F₄, 27) (dual of [40, 5, 28]-code), using
    - a quasi-cyclic code by Gulliver and Bhargava [i]
linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [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(2²¹⁴, 111, F₂, 2, 128) (dual of [(111, 2), 8, 129]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²¹⁴, 111, F₂, 2, 127) (dual of [(111, 2), 8, 128]-NRT-code)	[i]
3	Linear OOA(2²¹⁴, 111, F₂, 2, 126) (dual of [(111, 2), 8, 127]-NRT-code)	[i]
4	Linear OOA(2²¹³, 110, F₂, 2, 128) (dual of [(110, 2), 7, 129]-NRT-code)	[i]		Truncation for OOAs
5	Linear OOA(2²¹², 110, F₂, 2, 127) (dual of [(110, 2), 8, 128]-NRT-code)	[i]
6	Linear OOA(2²¹¹, 109, F₂, 2, 126) (dual of [(109, 2), 7, 127]-NRT-code)	[i]
7	Linear OOA(2²¹⁰, 109, F₂, 2, 125) (dual of [(109, 2), 8, 126]-NRT-code)	[i]
8	Linear OOA(2²⁰⁹, 108, F₂, 2, 124) (dual of [(108, 2), 7, 125]-NRT-code)	[i]
9	Linear OOA(2²⁰⁷, 107, F₂, 2, 122) (dual of [(107, 2), 7, 123]-NRT-code)	[i]
10	Linear OOA(2²⁰⁶, 107, F₂, 2, 121) (dual of [(107, 2), 8, 122]-NRT-code)	[i]
11	Linear OOA(2²⁰⁴, 106, F₂, 2, 119) (dual of [(106, 2), 8, 120]-NRT-code)	[i]
12	Linear OOA(2²⁰², 105, F₂, 2, 117) (dual of [(105, 2), 8, 118]-NRT-code)	[i]