MinT - Information on Result #2687607

Information on Result #2687607

Linear OOA(4²³⁶, 4194303, F₄, 3, 21) (dual of [(4194303, 3), 12582673, 22]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(4²³⁰, 4194301, F₄, 3, 21) (dual of [(4194301, 3), 12582673, 22]-NRT-code), using

OOA 2-folding [i] based on linear OOA(4²³⁰, 8388602, F₄, 2, 21) (dual of [(8388602, 2), 16776974, 22]-NRT-code), using
- trace code [i] based on linear OOA(16¹¹⁵, 4194301, F₁₆, 2, 21) (dual of [(4194301, 2), 8388487, 22]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(16¹¹⁵, 8388602, F₁₆, 21) (dual of [8388602, 8388487, 22]-code), using
    - discarding factors / shortening the dual code based on linear OA(16¹¹⁵, large, F₁₆, 21) (dual of [large, large−115, 22]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 16⁶âˆ’1, defining interval IÂ =Â [0,20], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m 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(4²³⁷, 4194303, F₄, 3, 21) (dual of [(4194303, 3), 12582672, 22]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(4²³⁸, 4194303, F₄, 3, 21) (dual of [(4194303, 3), 12582671, 22]-NRT-code)	[i]		OOA Duplication