Information on Result #1372725
Linear OOA(7105, 8421, F7, 2, 23) (dual of [(8421, 2), 16737, 24]-NRT-code), using OOA 2-folding based on linear OA(7105, 16842, F7, 23) (dual of [16842, 16737, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(7105, 16843, F7, 23) (dual of [16843, 16738, 24]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(7103, 16839, F7, 23) (dual of [16839, 16736, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- linear OA(796, 16807, F7, 23) (dual of [16807, 16711, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(771, 16807, F7, 17) (dual of [16807, 16736, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(77, 32, F7, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- linear OA(7103, 16841, F7, 22) (dual of [16841, 16738, 23]-code), using Gilbert–Varšamov bound and bm = 7103 > Vbs−1(k−1) = 24 026392 668929 852070 153524 450984 118455 618200 884789 152470 097394 970958 903698 509487 780033 [i]
- linear OA(70, 2, F7, 0) (dual of [2, 2, 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(7103, 16839, F7, 23) (dual of [16839, 16736, 24]-code), using
- construction X with Varšamov bound [i] based on
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.