MinT - Information on Result #2784018

Information on Result #2784018

Linear OOA(2²¹⁸, 71, F₂, 4, 93) (dual of [(71, 4), 66, 94]-NRT-code), using 4 step truncation based on linear OOA(2²²², 72, F₂, 4, 97) (dual of [(72, 4), 66, 98]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(64¹³, 24, F₆₄, 13) (dual of [24, 11, 14]-code or 24-arc in PG(12,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹³, 64, F₆₄, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), using
    - Reedâ€“Solomon code RS(51,64) [i]
2. linear OOA(2⁶, 3, F₂, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;6,2) [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(2²¹⁸, 35, F₂, 7, 93) (dual of [(35, 7), 27, 94]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²¹⁸, 35, F₂, 8, 93) (dual of [(35, 8), 62, 94]-NRT-code)	[i]		OOA Folding