Information on Result #1614099
Linear OOA(8176, 2102, F81, 4, 38) (dual of [(2102, 4), 8332, 39]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(8176, 2102, F81, 3, 38) (dual of [(2102, 3), 6230, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8176, 2188, F81, 3, 38) (dual of [(2188, 3), 6488, 39]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8176, 6564, F81, 38) (dual of [6564, 6488, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(8176, 6566, F81, 38) (dual of [6566, 6490, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(35) [i] based on
- linear OA(8175, 6561, F81, 38) (dual of [6561, 6486, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(8171, 6561, F81, 36) (dual of [6561, 6490, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(37) ⊂ Ce(35) [i] based on
- discarding factors / shortening the dual code based on linear OA(8176, 6566, F81, 38) (dual of [6566, 6490, 39]-code), using
- OOA 3-folding [i] based on linear OA(8176, 6564, F81, 38) (dual of [6564, 6488, 39]-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
None.