MinT - Information on Result #2483406

Information on Result #2483406

Linear OOA(2¹⁶², 85, F₂, 2, 96) (dual of [(85, 2), 8, 97]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(2¹⁵⁸, 83, F₂, 2, 96) (dual of [(83, 2), 8, 97]-NRT-code), using

2 step truncation [i] based on linear OOA(2¹⁶⁰, 84, F₂, 2, 98) (dual of [(84, 2), 8, 99]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹⁶⁰, 84, F₂, 2, 99) (dual of [(84, 2), 8, 100]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(4²⁴, 28, F₄, 19) (dual of [28, 4, 20]-code), using
      - an explicit generator matrix [i]
    2. 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(2¹⁶³, 85, F₂, 2, 96) (dual of [(85, 2), 7, 97]-NRT-code)	[i]		OOA Duplication