Information on Result #1490439
Linear OOA(8164, 99299, F8, 3, 31) (dual of [(99299, 3), 297733, 32]-NRT-code), using OOA 2-folding based on linear OOA(8164, 198598, F8, 2, 31) (dual of [(198598, 2), 397032, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8164, 198598, F8, 31) (dual of [198598, 198434, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(8164, 262157, F8, 31) (dual of [262157, 261993, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(8163, 262144, F8, 31) (dual of [262144, 261981, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(8151, 262144, F8, 29) (dual of [262144, 261993, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(81, 13, F8, 1) (dual of [13, 12, 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(30) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(8164, 262157, F8, 31) (dual of [262157, 261993, 32]-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.