Information on Result #1372346
Linear OOA(783, 117657, F7, 2, 14) (dual of [(117657, 2), 235231, 15]-NRT-code), using OOA 2-folding based on linear OA(783, 235314, F7, 14) (dual of [235314, 235231, 15]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(782, 235312, F7, 14) (dual of [235312, 235230, 15]-code), using
- trace code [i] based on linear OA(4941, 117656, F49, 14) (dual of [117656, 117615, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(4940, 117649, F49, 14) (dual of [117649, 117609, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(4934, 117649, F49, 12) (dual of [117649, 117615, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(491, 7, F49, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- trace code [i] based on linear OA(4941, 117656, F49, 14) (dual of [117656, 117615, 15]-code), using
- linear OA(782, 235313, F7, 13) (dual of [235313, 235231, 14]-code), using Gilbert–Varšamov bound and bm = 782 > Vbs−1(k−1) = 130944 970006 701487 627698 900041 209833 571461 683915 612280 867995 164801 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(782, 235312, F7, 14) (dual of [235312, 235230, 15]-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.