MinT - Information on Result #1119846

Information on Result #1119846

Linear OOA(2²³⁵, 48, F₂, 5, 179) (dual of [(48, 5), 5, 180]-NRT-code), using repeating each code word 12 times based on linear OOA(2¹⁵, 4, F₂, 5, 14) (dual of [(4, 5), 5, 15]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2¹⁵, 5, F₂, 5, 14) (dual of [(5, 5), 10, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,10P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
  - an explicitly constructive algebraic function field [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(2²³⁵, 48, F₂, 5, 178) (dual of [(48, 5), 5, 179]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²³⁵, 48, F₂, 5, 177) (dual of [(48, 5), 5, 178]-NRT-code)	[i]
3	Linear OOA(2²³⁵, 48, F₂, 5, 176) (dual of [(48, 5), 5, 177]-NRT-code)	[i]