Information on Result #1375922
Linear OOA(8131, 2393, F8, 2, 36) (dual of [(2393, 2), 4655, 37]-NRT-code), using OOA 2-folding based on linear OA(8131, 4786, F8, 36) (dual of [4786, 4655, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(8131, 4787, F8, 36) (dual of [4787, 4656, 37]-code), using
- 681 step Varšamov–Edel lengthening with (ri) = (2, 6 times 0, 1, 43 times 0, 1, 138 times 0, 1, 223 times 0, 1, 266 times 0) [i] based on linear OA(8125, 4100, F8, 36) (dual of [4100, 3975, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(34) [i] based on
- linear OA(8125, 4096, F8, 36) (dual of [4096, 3971, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(8121, 4096, F8, 35) (dual of [4096, 3975, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(35) ⊂ Ce(34) [i] based on
- 681 step Varšamov–Edel lengthening with (ri) = (2, 6 times 0, 1, 43 times 0, 1, 138 times 0, 1, 223 times 0, 1, 266 times 0) [i] based on linear OA(8125, 4100, F8, 36) (dual of [4100, 3975, 37]-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.