MinT - Information on Result #2426650

Information on Result #2426650

Linear OOA(2²²⁸, 126, F₂, 2, 106) (dual of [(126, 2), 24, 107]-NRT-code), using strength reduction based on linear OOA(2²²⁸, 126, F₂, 2, 107) (dual of [(126, 2), 24, 108]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8³⁴, 42, F₈, 26) (dual of [42, 8, 27]-code), using
  - a cyclic, quasi-cyclic, or quasi-twisted code by Daskalov, Hristov, and Metodieva [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(2²²⁷, 125, F₂, 2, 105) (dual of [(125, 2), 23, 106]-NRT-code)	[i]		Truncation for OOAs
2	Linear OOA(2²²⁶, 125, F₂, 2, 104) (dual of [(125, 2), 24, 105]-NRT-code)	[i]		Truncation for OOAs