MinT - Information on Result #917902

Information on Result #917902

Linear OOA(4¹⁵², 88, F₄, 2, 95) (dual of [(88, 2), 24, 96]-NRT-code), using concatenation of two NRT-codes based on

linear OOA(16³², 22, F₁₆, 2, 31) (dual of [(22, 2), 12, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16³², 24, F₁₆, 2, 31) (dual of [(24, 2), 16, 32]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,16P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]
linear OA(4², 4, F₄, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reedâ€“Solomon code RS(2,4) [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(4¹⁵², 88, F₄, 2, 94) (dual of [(88, 2), 24, 95]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4¹⁵², 88, F₄, 2, 93) (dual of [(88, 2), 24, 94]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(4¹⁵³, 88, F₄, 2, 95) (dual of [(88, 2), 23, 96]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(4¹⁵¹, 87, F₄, 2, 94) (dual of [(87, 2), 23, 95]-NRT-code)	[i]		Truncation for OOAs
5	Linear OOA(4¹⁵⁰, 87, F₄, 2, 93) (dual of [(87, 2), 24, 94]-NRT-code)	[i]
6	Linear OOA(4¹⁴⁹, 86, F₄, 2, 92) (dual of [(86, 2), 23, 93]-NRT-code)	[i]
7	Linear OOA(4¹⁴⁸, 86, F₄, 2, 91) (dual of [(86, 2), 24, 92]-NRT-code)	[i]
8	Linear OOA(4¹⁴⁷, 85, F₄, 2, 90) (dual of [(85, 2), 23, 91]-NRT-code)	[i]
9	Linear OOA(4¹⁴⁵, 84, F₄, 2, 88) (dual of [(84, 2), 23, 89]-NRT-code)	[i]