Information on Result #1492502
Linear OOA(977, 27441, F9, 3, 17) (dual of [(27441, 3), 82246, 18]-NRT-code), using OOA 2-folding based on linear OOA(977, 54882, F9, 2, 17) (dual of [(54882, 2), 109687, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(977, 54883, F9, 2, 17) (dual of [(54883, 2), 109689, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(977, 54883, F9, 17) (dual of [54883, 54806, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(977, 59060, F9, 17) (dual of [59060, 58983, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(976, 59049, F9, 17) (dual of [59049, 58973, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(966, 59049, F9, 15) (dual of [59049, 58983, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(977, 59060, F9, 17) (dual of [59060, 58983, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(977, 54883, F9, 17) (dual of [54883, 54806, 18]-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.