MinT - Information on Result #2484089

Information on Result #2484089

Linear OOA(2²⁵⁸, 133, F₂, 2, 158) (dual of [(133, 2), 8, 159]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2²⁵⁶, 132, F₂, 2, 158) (dual of [(132, 2), 8, 159]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁵⁶, 132, F₂, 2, 159) (dual of [(132, 2), 8, 160]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(4⁴⁰, 44, F₄, 31) (dual of [44, 4, 32]-code), using
    - a quasi-cyclic code by Gulliver and Bhargava [i]
  2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [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(2²⁵⁹, 133, F₂, 2, 158) (dual of [(133, 2), 7, 159]-NRT-code)	[i]		OOA Duplication