MinT - Information on Result #986014

Information on Result #986014

Linear OOA(9¹²⁶, 2197, F₉, 3, 33) (dual of [(2197, 3), 6465, 34]-NRT-code), using OOA 3-folding based on linear OA(9¹²⁶, 6591, F₉, 33) (dual of [6591, 6465, 34]-code), using

discarding factors / shortening the dual code based on linear OA(9¹²⁶, 6592, F₉, 33) (dual of [6592, 6466, 34]-code), using
- constructionÂ XX applied to C_e(32) âŠ‚ C_e(27) âŠ‚ C_e(25) [i] based on
  1. linear OA(9¹¹⁷, 6561, F₉, 33) (dual of [6561, 6444, 34]-code), using an extension C_e(32) of the primitive narrow-sense BCH-code C(I) with length 6560Â = 9⁴âˆ’1, defining interval IÂ =Â [1,32], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 33 [i]
  2. linear OA(9⁹⁷, 6561, F₉, 28) (dual of [6561, 6464, 29]-code), using an extension C_e(27) of the primitive narrow-sense BCH-code C(I) with length 6560Â = 9⁴âˆ’1, defining interval IÂ =Â [1,27], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 28 [i]
  3. linear OA(9⁹³, 6561, F₉, 26) (dual of [6561, 6468, 27]-code), using an extension C_e(25) of the primitive narrow-sense BCH-code C(I) with length 6560Â = 9⁴âˆ’1, defining interval IÂ =Â [1,25], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 26 [i]
  4. linear OA(9⁶, 28, F₉, 4) (dual of [28, 22, 5]-code), using
    - discarding factors / shortening the dual code based on linear OA(9⁶, 72, F₉, 4) (dual of [72, 66, 5]-code), using
      - 1 times truncation [i] based on linear OA(9⁷, 73, F₉, 5) (dual of [73, 66, 6]-code), using
        a code by Danev and Olsson [i]
  5. linear OA(9¹, 3, F₉, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(9¹, 9, F₉, 1) (dual of [9, 8, 2]-code), using
      - Reedâ€“Solomon code RS(8,9) [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

None.