Information on Result #1536261
Linear OOA(4120, 8195, F4, 3, 23) (dual of [(8195, 3), 24465, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4120, 8195, F4, 2, 23) (dual of [(8195, 2), 16270, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4120, 16390, F4, 23) (dual of [16390, 16270, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4120, 16391, F4, 23) (dual of [16391, 16271, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(4120, 16384, F4, 23) (dual of [16384, 16264, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(4113, 16384, F4, 22) (dual of [16384, 16271, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(40, 7, F4, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(4120, 16391, F4, 23) (dual of [16391, 16271, 24]-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(4120, 2048, F4, 27, 23) (dual of [(2048, 27), 55176, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |