MinT - Information on Result #2765199

Information on Result #2765199

Linear OOA(2²¹³, 66, F₂, 4, 98) (dual of [(66, 4), 51, 99]-NRT-code), using strength reduction based on linear OOA(2²¹³, 66, F₂, 4, 99) (dual of [(66, 4), 51, 100]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(8²⁷, 22, F₈, 2, 24) (dual of [(22, 2), 17, 25]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(8²⁷, 24, F₈, 2, 24) (dual of [(24, 2), 21, 25]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,23P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24, using
      - the Klein quartic over F₈ [i]
2. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [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(2²¹³, 33, F₂, 7, 98) (dual of [(33, 7), 18, 99]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²¹³, 33, F₂, 8, 98) (dual of [(33, 8), 51, 99]-NRT-code)	[i]		OOA Folding