MinT - Information on Result #906701

Information on Result #906701

Linear OOA(16²⁰, 195843, F₁₆, 2, 5) (dual of [(195843, 2), 391666, 6]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(16¹, 65281, F₁₆, 2, 1) (dual of [(65281, 2), 130561, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16¹, s, F₁₆, 2, 1) for arbitrarily large s, using
  - appending 1 arbitrary column [i] based on linear OA(16¹, s, F₁₆, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]
linear OOA(16⁵, 65281, F₁₆, 2, 2) (dual of [(65281, 2), 130557, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16⁵, 69905, F₁₆, 2, 2) (dual of [(69905, 2), 139805, 3]-NRT-code), using
  - appending kth column [i] based on linear OA(16⁵, 69905, F₁₆, 2) (dual of [69905, 69900, 3]-code), using
    - Hamming code H(5,16) [i]
linear OOA(16¹⁴, 65281, F₁₆, 2, 5) (dual of [(65281, 2), 130548, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(16¹⁴, 130562, F₁₆, 5) (dual of [130562, 130548, 6]-code), using
  - trace code [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
    - a code by Danev and Olsson [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(16²⁰, 195842, F₁₆, 6, 5) (dual of [(195842, 6), 1175032, 6]-NRT-code)	[i]		OOA Stacking with Additional Row