MinT - Information on Result #2455840

Information on Result #2455840

Linear OOA(2⁸⁹, 47, F₂, 2, 58) (dual of [(47, 2), 5, 59]-NRT-code), using 1 step truncation based on linear OOA(2⁹⁰, 48, F₂, 2, 59) (dual of [(48, 2), 6, 60]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(4¹³, 16, F₄, 11) (dual of [16, 3, 12]-code), using
  - discarding factors / shortening the dual code based on linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
    - projective code from ovoid in PG(3,Â 4) [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		Method
1	Linear OOA(2¹⁸³, 94, F₂, 2, 117) (dual of [(94, 2), 5, 118]-NRT-code)	[i]	Repeating Each Code Word for NRT-Codes
2	Linear OOA(2⁹⁹, 52, F₂, 2, 63) (dual of [(52, 2), 5, 64]-NRT-code)	[i]	Juxtaposition for OOAs
3	Linear OOA(2¹⁰⁵, 55, F₂, 2, 67) (dual of [(55, 2), 5, 68]-NRT-code)	[i]
4	Linear OOA(2¹⁷⁷, 91, F₂, 2, 113) (dual of [(91, 2), 5, 114]-NRT-code)	[i]
5	Linear OOA(2²¹³, 109, F₂, 2, 137) (dual of [(109, 2), 5, 138]-NRT-code)	[i]
6	Linear OOA(2²²⁹, 117, F₂, 2, 146) (dual of [(117, 2), 5, 147]-NRT-code)	[i]