MinT - Information on Result #979598

Information on Result #979598

Linear OOA(8⁹¹, 10924, F₈, 3, 21) (dual of [(10924, 3), 32681, 22]-NRT-code), using OOA 3-folding based on linear OA(8⁹¹, 32772, F₈, 21) (dual of [32772, 32681, 22]-code), using

discarding factors / shortening the dual code based on linear OA(8⁹¹, 32773, F₈, 21) (dual of [32773, 32682, 22]-code), using
- constructionÂ X applied to C_e(20) âŠ‚ C_e(19) [i] based on
  1. linear OA(8⁹¹, 32768, F₈, 21) (dual of [32768, 32677, 22]-code), using an extension C_e(20) of the primitive narrow-sense BCH-code C(I) with length 32767Â = 8⁵âˆ’1, defining interval IÂ =Â [1,20], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [i]
  2. linear OA(8⁸⁶, 32768, F₈, 20) (dual of [32768, 32682, 21]-code), using an extension C_e(19) of the primitive narrow-sense BCH-code C(I) with length 32767Â = 8⁵âˆ’1, defining interval IÂ =Â [1,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 20 [i]
  3. linear OA(8⁰, 5, F₈, 0) (dual of [5, 5, 1]-code), using
    - discarding factors / shortening the dual code based on linear OA(8⁰, s, F₈, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
      - OA with only one run / dual of code without redundancy [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(8¹⁰², 10938, F₈, 3, 21) (dual of [(10938, 3), 32712, 22]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(8¹⁰³, 10941, F₈, 3, 21) (dual of [(10941, 3), 32720, 22]-NRT-code)	[i]
3	Linear OOA(8¹⁰⁴, 10948, F₈, 3, 21) (dual of [(10948, 3), 32740, 22]-NRT-code)	[i]
4	Linear OOA(8¹⁰⁵, 10949, F₈, 3, 21) (dual of [(10949, 3), 32742, 22]-NRT-code)	[i]
5	Linear OOA(8¹⁰⁶, 10952, F₈, 3, 21) (dual of [(10952, 3), 32750, 22]-NRT-code)	[i]
6	Linear OOA(8¹⁰⁸, 10960, F₈, 3, 21) (dual of [(10960, 3), 32772, 22]-NRT-code)	[i]