Information on Result #1546693
Linear OOA(4258, 387913, F4, 3, 34) (dual of [(387913, 3), 1163481, 35]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4258, 387913, F4, 2, 34) (dual of [(387913, 2), 775568, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4258, 524309, F4, 2, 34) (dual of [(524309, 2), 1048360, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4258, 1048618, F4, 34) (dual of [1048618, 1048360, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(4258, 1048619, F4, 34) (dual of [1048619, 1048361, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- linear OA(4251, 1048576, F4, 34) (dual of [1048576, 1048325, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4211, 1048576, F4, 29) (dual of [1048576, 1048365, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(4258, 1048619, F4, 34) (dual of [1048619, 1048361, 35]-code), using
- OOA 2-folding [i] based on linear OA(4258, 1048618, F4, 34) (dual of [1048618, 1048360, 35]-code), using
Mode: 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(4258, 64652, F4, 39, 34) (dual of [(64652, 39), 2521170, 35]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |