Information on Result #1534491
Linear OOA(468, 138294, F4, 3, 10) (dual of [(138294, 3), 414814, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(468, 138294, F4, 10) (dual of [138294, 138226, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(468, 262166, F4, 10) (dual of [262166, 262098, 11]-code), using
- 1 times code embedding in larger space [i] based on linear OA(467, 262165, F4, 10) (dual of [262165, 262098, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(464, 262144, F4, 10) (dual of [262144, 262080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(446, 262144, F4, 7) (dual of [262144, 262098, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(467, 262165, F4, 10) (dual of [262165, 262098, 11]-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(468, 69146, F4, 15, 10) (dual of [(69146, 15), 1037122, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |