MinT - Information on Result #2185302

Information on Result #2185302

Linear OA(2²¹⁷, 231, F₂, 102) (dual of [231, 14, 103]-code), using strength reduction based on linear OA(2²¹⁷, 231, F₂, 103) (dual of [231, 14, 104]-code), using

concatenation of two codes [i] based on
1. linear OA(4⁷⁰, 77, F₄, 51) (dual of [77, 7, 52]-code), using
  - BCH codes lengthened with UEP codes [i]
2. linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(2²¹⁶, 230, F₂, 101) (dual of [230, 14, 102]-code)	[i]		Truncation
2	Linear OA(2²¹⁵, 229, F₂, 100) (dual of [229, 14, 101]-code)	[i]
3	Linear OA(2²¹⁴, 228, F₂, 99) (dual of [228, 14, 100]-code)	[i]
4	Linear OA(2²¹³, 227, F₂, 98) (dual of [227, 14, 99]-code)	[i]
5	Linear OOA(2²¹⁷, 77, F₂, 3, 102) (dual of [(77, 3), 14, 103]-NRT-code)	[i]		OOA Folding