MinT - Information on Result #2483964

Information on Result #2483964

Linear OOA(2²⁵⁴, 137, F₂, 2, 128) (dual of [(137, 2), 20, 129]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2²⁵², 136, F₂, 2, 128) (dual of [(136, 2), 20, 129]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁵², 136, F₂, 2, 129) (dual of [(136, 2), 20, 130]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(16¹², 17, F₁₆, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,16)), using
    - extended Reedâ€“Solomon code RS_e(5,16) [i]
  2. linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
    - an explicit generator matrix by Edel [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(2²⁵⁵, 137, F₂, 2, 128) (dual of [(137, 2), 19, 129]-NRT-code)	[i]		OOA Duplication