MinT - Information on Result #2673770

Information on Result #2673770

Linear OOA(2²⁰⁷, 85, F₂, 3, 97) (dual of [(85, 3), 48, 98]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2²⁰⁴, 84, F₂, 3, 97) (dual of [(84, 3), 48, 98]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(4⁶⁰, 28, F₄, 3, 48) (dual of [(28, 3), 24, 49]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,35P) [i] based on function field F/F₄ with g(F) = 12 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2²⁰⁸, 85, F₂, 3, 97) (dual of [(85, 3), 47, 98]-NRT-code)	[i]		OOA Duplication