Information on Result #1489029
Linear OOA(879, 888410, F8, 3, 13) (dual of [(888410, 3), 2665151, 14]-NRT-code), using OOA 2-folding based on linear OOA(879, 1776820, F8, 2, 13) (dual of [(1776820, 2), 3553561, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(879, 1776821, F8, 2, 13) (dual of [(1776821, 2), 3553563, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(879, 1776821, F8, 13) (dual of [1776821, 1776742, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(879, 2097167, F8, 13) (dual of [2097167, 2097088, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(878, 2097152, F8, 13) (dual of [2097152, 2097074, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(864, 2097152, F8, 11) (dual of [2097152, 2097088, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(81, 15, F8, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(879, 2097167, F8, 13) (dual of [2097167, 2097088, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(879, 1776821, F8, 13) (dual of [1776821, 1776742, 14]-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.